1) Apathy 2) Devoid of passion or feeling 3) Dullness 4) French word used in English 5) Hardheartedness 6) Hebetude 7) Impassibility 8) Impassibleness 9) Inappetency 10) Inertia 11) Inertness 12) Insensibleness 13) Lukewarmness 14) Moral insensibility 15) Phlegm 16) Supineness 17) Unconsciousness 18) Vis inertiae 1) Callousness 2) Coma 3) Unfeelingness 
• (n.) The state or quality of being insensible; want of sensibility; torpor; unconsciousness; as, the insensibility produced by a fall, or by opiates. • (n.) Want of tenderness or susceptibility of emotion or passion; dullness; stupidity.
In·sen`si·bil'i·ty noun [ Confer French insensibilité .] 1. The state or quality of being insensible; want of sensibility; torpor; unconsciousness; as, the insensibility produced by a fall, or by opiates. 2. Want of tenderness or susceptibility of emotion or passion; d...
[n] - a lack of sensibility
insensibility Lacking physical sensation or feeling; a lack of moral sensibility or emotion.
noun a lack of sensibility