This is related to the question asked before: Buttons on an old non-scientific calculator are less sensitive
We have chosen 5 different integer values ($a,b,c,d,e$), and written them in an ascending order next to each other and taken their sum and multiplication. Strangely, we got the same result as $41040$ after the multiplication and summation.
Then we noticed that it was actually our mistake while calculating their sum, our old calculator did not get the input "+" twice in a row while putting values to the calculator at some point but there was no mistake at multiplication.
What are our numbers?