431101444101138 has 32 divisors (see below), whose sum is σ = 962966956334400. Its totient is φ = 142955919283968.

The previous prime is 431101444101137. The next prime is 431101444101149. The reversal of 431101444101138 is 831101444101134.

431101444101138 is a `hidden beast` number, since 4 + 3 + 1 + 101 + 4 + 4 + 410 + 1 + 138 = 666.

It is a super-2 number, since 2×431101444101138² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431101444101137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20682269568 + ... + 20682290411.

It is an arithmetic number, because the mean of its divisors is an integer number (30092717385450).

Almost surely, 2^{431101444101138} is an apocalyptic number.

431101444101138 is an abundant number, since it is smaller than the sum of its proper divisors (531865512233262).

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

431101444101138 is a wasteful number, since it uses less digits than its factorization.

431101444101138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41364560183 (or 41364560177 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 431101444101138 in words is "four hundred thirty-one trillion, one hundred one billion, four hundred forty-four million, one hundred one thousand, one hundred thirty-eight".