312310402400 has 72 divisors (see below), whose sum is σ = 802555586280. Its totient is φ = 118349199360.

The previous prime is 312310402307. The next prime is 312310402433. The reversal of 312310402400 is 4204013213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10258169 + ... + 10288568.

It is an arithmetic number, because the mean of its divisors is an integer number (11146605365).

Almost surely, 2^312310402400 is an apocalyptic number.

It is an amenable number.

312310402400 is an abundant number, since it is smaller than the sum of its proper divisors (490245183880).

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

312310402400 is a wasteful number, since it uses less digits than its factorization.

312310402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20546776 (or 20546763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312310402400 its reverse (4204013213), we get a palindrome (316514415613).

The spelling of 312310402400 in words is "three hundred twelve billion, three hundred ten million, four hundred two thousand, four hundred".