As a reply to some comments.
The OTL He 177 was a four engined plane, only in an unusual configuration which was the reason of its major flaw, over heating engines to an exend the motor oil catch fire, which incombination of the configuration of the machine turned out to be deadly.
This is solved with the orthodox engine configuration.
At the time of the introduction of the ITL He 177 the LW saw the need of longrange bombing missions at the East front. Most likeley on railroad junctions feeding the front, and industrial centers.
I have no idea of the Sovjet intercepting capabilities, but initial this will be very poor around the targets deep behind the front.
As for the effectiveness, the long range bombng raids, will have the same results as the ones performed by the Western Allies in 1942/43. The results of each raid will be different to the other, some would be spot on, other flattening a residential area while a production facility was the target, and some targets will be completely missed in such a way the Sovjets would be puzzled what the intended target excactly was,, and this would be only for day raids not to mention night raids. Esentially the same result as at the West around the 1942/1943 period.
Since the initial limited numbers, terror bombings on cities would be not aplied, or at least not initially.
Most likely the production of more or less obsolete designs, by 1942/43 standards like the He 111, would be deverted to the production of the He 177.
Some German bomber designs like the He 111, and the Fw 200 were intially designed as passanger planes, hence the structural issues with the Fw 200. It is in the line of expectations that, if production allows it, that He 177 would be used for the KM for naval duties, replacing the Fw 200.
An other side effect of a better performing He 177 would be the acceleration of more long range/heavy bomber projects. This could accelerate the production of the improved He 177, the He 277 or the Junkers Ju 390 and even the Messerschmitt Me 264 .
But would the long range bombing raids, on railroad junctions or production facilities, (those raids who were effective) influence the eastern front and the performance of the Red Army?
Would it effect the supply of the Red Army on crucial moments?