312004411400 has 96 divisors (see below), whose sum is σ = 793247666400. Its totient is φ = 113185036800.

The previous prime is 312004411399. The next prime is 312004411421. The reversal of 312004411400 is 4114400213.

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 23 ways as a sum of consecutive naturals, for example, 752564 + ... + 1091036.

It is an arithmetic number, because the mean of its divisors is an integer number (8262996525).

Almost surely, 2^312004411400 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 312004411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396623833200).

312004411400 is an abundant number, since it is smaller than the sum of its proper divisors (481243255000).

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

312004411400 is a wasteful number, since it uses less digits than its factorization.

312004411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338919 (or 338910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312004411400 its reverse (4114400213), we get a palindrome (316118811613).

The spelling of 312004411400 in words is "three hundred twelve billion, four million, four hundred eleven thousand, four hundred".