431314120000 has 70 divisors (see below), whose sum is σ = 1069518939698. Its totient is φ = 172525632000.

The previous prime is 431314119961. The next prime is 431314120043. The reversal of 431314120000 is 21413134.

It can be written as a sum of positive squares in 5 ways, for example, as 221381542144 + 209932577856 = 470512^2 + 458184^2 .

It is a super-2 number, since 2×431314120000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431314120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5351427 + ... + 5431426.

Almost surely, 2^431314120000 is an apocalyptic number.

431314120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431314120000 is an abundant number, since it is smaller than the sum of its proper divisors (638204819698).

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

431314120000 is an equidigital number, since it uses as much as digits as its factorization.

431314120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782885 (or 10782860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 431314120000 its reverse (21413134), we get a palindrome (431335533134).

The spelling of 431314120000 in words is "four hundred thirty-one billion, three hundred fourteen million, one hundred twenty thousand".