312312400400 has 480 divisors, whose sum is σ = 1026514798848. Its totient is φ = 88154726400.

The previous prime is 312312400357. The next prime is 312312400469. The reversal of 312312400400 is 4004213213.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21213842 + ... + 21228558.

Almost surely, 2^312312400400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312312400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513257399424).

312312400400 is an abundant number, since it is smaller than the sum of its proper divisors (714202398448).

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

312312400400 is a wasteful number, since it uses less digits than its factorization.

312312400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14819 (or 14808 counting only the distinct ones).

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

Adding to 312312400400 its reverse (4004213213), we get a palindrome (316316613613).

The spelling of 312312400400 in words is "three hundred twelve billion, three hundred twelve million, four hundred thousand, four hundred".