His name is psychopath

psy·cho·path
ˈsīkəˌpaTH/Submit
noun
a person suffering from chronic mental disorder with abnormal or violent social behavior.
an unstable and aggressive person
which manifests as amoral and antisocial behavior, lack of ability to love or establish meaningful personal relationships, extreme egocentricity

synonyms: madman, madwoman, maniac, lunatic, psychotic, sociopath

The narcissist lacks empathy: is unwilling to recognize or identify with the feelings and needs of others.