312331334400 has 540 divisors, whose sum is σ = 1157861650792. Its totient is φ = 83070074880.

The previous prime is 312331334387. The next prime is 312331334411. The reversal of 312331334400 is 4433133213.

312331334400 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 313 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 333330732 + ... + 333331668.

Almost surely, 2^312331334400 is an apocalyptic number.

312331334400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312331334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578930825396).

312331334400 is an abundant number, since it is smaller than the sum of its proper divisors (845530316392).

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

312331334400 is an equidigital number, since it uses as much as digits as its factorization.

312331334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 312331334400 its reverse (4433133213), we get a palindrome (316764467613).

The spelling of 312331334400 in words is "three hundred twelve billion, three hundred thirty-one million, three hundred thirty-four thousand, four hundred".