The Collaborative International Dictionary of English v.0.48:

Ineffectualness \In`ef*fec"tu*al*ness\, n.
   Lack of effect, or of power to produce it; inefficacy.
   [1913 Webster]

         The ineffectualness of some men's devotion. --Wake.
   [1913 Webster]

WordNet (r) 3.0 (2006):

ineffectualness
    n 1: lacking the power to be effective [syn: ineffectiveness,
         ineffectualness, ineffectuality] [ant: effectiveness,
         effectivity, effectuality, effectualness]