312323402400 has 72 divisors (see below), whose sum is σ = 1016612682624. Its totient is φ = 83286240000.

The previous prime is 312323402389. The next prime is 312323402473. The reversal of 312323402400 is 4204323213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65064976 + ... + 65069775.

It is an arithmetic number, because the mean of its divisors is an integer number (14119620592).

Almost surely, 2^312323402400 is an apocalyptic number.

312323402400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312323402400 is an abundant number, since it is smaller than the sum of its proper divisors (704289280224).

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

312323402400 is a wasteful number, since it uses less digits than its factorization.

312323402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130134774 (or 130134761 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 312323402400 its reverse (4204323213), we get a palindrome (316527725613).

The spelling of 312323402400 in words is "three hundred twelve billion, three hundred twenty-three million, four hundred two thousand, four hundred".