in·flu·en·tial·i·ty.

Is non influential a word?

Noninfluence | Definition of Noninfluence by Merriam-Webster.

What is the verb form of influence?

influenced; influencing. Definition of influence (Entry 2 of 2) transitive verb. 1 : to affect or alter by indirect or intangible means She attempted to influence his decision. greatly influenced by my parents.