Infinity is a distinctive girls' name in United States, ranking #3508 in 2001 with 38 recorded births. The name reached its all-time peak in 1997 with 71 births ranking #2008. Since 1996, the popularity has decreased by 17.4%. In 2001, approximately 1 in every 47,383 girls born was named Infinity. FALLING Recent data shows the name is currently falling.