"summation" is also related to summary. All these words are related to reducing a collection of things to a single thing. A sum reduces a collection of numbers to its total. A summary reduces a collection of thoughts to its essence. A summation is effectively a synonym for a summary.
The word multiplication describes the operation applied to each pair of numbers. The word production would refer to the act of multiplying an arbitrary collection of numbers. Just as it would be for addition and summation.
It would fit the pattern.
"Sorry, I can't help you." Why? Because sometimes I hand out random favors, but not today to you.