The Collaborative International Dictionary of English v.0.48:

Ineffectuality \In`ef*fec`tu*al"i*ty\, n.
   Ineffectualness. [R.]
   [1913 Webster]

WordNet (r) 3.0 (2006):

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

Moby Thesaurus II by Grady Ward, 1.0:

103 Moby Thesaurus words for "ineffectuality":
   absurdity, aimlessness, bootlessness, counterproductiveness,
   counterproductivity, emptiness, failure, fatuity, fecklessness,
   forcelessness, fruitlessness, futility, hollowness, immateriality,
   impotence, inability, inadeptness, inadequacy, inanity, inaptitude,
   inaptness, inattentiveness, incapability, incapacity, incompetence,
   incompetency, inconsequence, inconsequentiality,
   inconsiderableness, indexterity, indifference, ineffectiveness,
   ineffectualness, inefficaciousness, inefficacy, inefficiency,
   ineptness, inferiority, insignificance, invalidity, irrelevance,
   lack of force, lack of influence, lack of magnetism,
   lack of personality, lack of power, littleness, low priority,
   maladjustment, maladroitness, marginality, meaninglessness,
   mediocrity, negligibility, no say, nugacity, otiosity,
   pedestrianism, pettiness, picayune, picayunishness, pointlessness,
   pokiness, powerlessness, profitlessness, puniness, purposelessness,
   rat race, rustiness, secondariness, skill-lessness, slightness,
   smallness, the absurd, thoughtlessness, triviality, unaptness,
   unauthoritativeness, uncleverness, undeftness, undexterousness,
   undextrousness, unfitness, unfittedness, unimportance,
   unimpressiveness, uninfluentiality, unintelligence,
   unnoteworthiness, unpersuasiveness, unproductiveness,
   unproficiency, unprofitability, unprofitableness, unschooledness,
   unskillfulness, untrainedness, uselessness, valuelessness, vanity,
   vicious circle, weakness, worthlessness