36402431013630 has 256 divisors, whose sum is σ = 118028712729600. Its totient is φ = 7868580433920.

The previous prime is 36402431013629. The next prime is 36402431013671. The reversal of 36402431013630 is 3631013420463.

36402431013630 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 2 + 4 + 3 + 1 + 0 + 13 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18013927 + ... + 19932546.

It is an arithmetic number, because the mean of its divisors is an integer number (461049659100).

Almost surely, 2^{36402431013630} is an apocalyptic number.

36402431013630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36402431013630 is an abundant number, since it is smaller than the sum of its proper divisors (81626281715970).

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

36402431013630 is a wasteful number, since it uses less digits than its factorization.

36402431013630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37946536 (or 37946530 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 36402431013630 in words is "thirty-six trillion, four hundred two billion, four hundred thirty-one million, thirteen thousand, six hundred thirty".