431000130400 has 72 divisors (see below), whose sum is σ = 1202490379440. Its totient is φ = 147771471360.

The previous prime is 431000130371. The next prime is 431000130409. The reversal of 431000130400 is 4031000134.

It is a super-2 number, since 2×431000130400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431000130409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38476555 + ... + 38487754.

It is an arithmetic number, because the mean of its divisors is an integer number (16701255270).

Almost surely, 2^431000130400 is an apocalyptic number.

431000130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431000130400 is an abundant number, since it is smaller than the sum of its proper divisors (771490249040).

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

431000130400 is a wasteful number, since it uses less digits than its factorization.

431000130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76964336 (or 76964323 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 431000130400 its reverse (4031000134), we get a palindrome (435031130534).

The spelling of 431000130400 in words is "four hundred thirty-one billion, one hundred thirty thousand, four hundred".