40772462504992 has 48 divisors (see below), whose sum is σ = 81588038578200. Its totient is φ = 20051701770240.

The previous prime is 40772462504957. The next prime is 40772462505007. The reversal of 40772462504992 is 29940526427704.

It can be written as a sum of positive squares in 4 ways, for example, as 40000109790096 + 772352714896 = 6324564^2 + 878836^2 .

It is a super-3 number, since 3×40772462504992³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 40772462504992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154679484 + ... + 154942852.

Almost surely, 2^{40772462504992} is an apocalyptic number.

It is an amenable number.

40772462504992 is an abundant number, since it is smaller than the sum of its proper divisors (40815576073208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40772462504992 is a wasteful number, since it uses less digits than its factorization.

40772462504992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342749 (or 342741 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 40772462504992 in words is "forty trillion, seven hundred seventy-two billion, four hundred sixty-two million, five hundred four thousand, nine hundred ninety-two".