431440441431012 has 60 divisors (see below), whose sum is σ = 1214629808769916. Its totient is φ = 132750905054400.

The previous prime is 431440441431007. The next prime is 431440441431023. The reversal of 431440441431012 is 210134144044134.

431440441431012 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 404 + 4 + 143 + 101 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242463016858176 + 188977424572836 = 15571224^2 + 13746906^2 .

It is a super-2 number, since 2×431440441431012² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51215622739 + ... + 51215631162.

Almost surely, 2^{431440441431012} is an apocalyptic number.

It is an amenable number.

431440441431012 is an abundant number, since it is smaller than the sum of its proper divisors (783189367338904).

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

431440441431012 is a wasteful number, since it uses less digits than its factorization.

431440441431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102431253930 (or 102431253919 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 431440441431012 its reverse (210134144044134), we get a palindrome (641574585475146).

The spelling of 431440441431012 in words is "four hundred thirty-one trillion, four hundred forty billion, four hundred forty-one million, four hundred thirty-one thousand, twelve".