312404042020400 has 60 divisors (see below), whose sum is σ = 818782593779544. Its totient is φ = 113601469824000.

The previous prime is 312404042020331. The next prime is 312404042020429. The reversal of 312404042020400 is 4020240404213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312404042020400.

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, 35500454921 + ... + 35500463720.

Almost surely, 2^{312404042020400} is an apocalyptic number.

It is an amenable number.

312404042020400 is an abundant number, since it is smaller than the sum of its proper divisors (506378551759144).

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

312404042020400 is a wasteful number, since it uses less digits than its factorization.

312404042020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71000918670 (or 71000918659 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 312404042020400 its reverse (4020240404213), we get a palindrome (316424282424613).

The spelling of 312404042020400 in words is "three hundred twelve trillion, four hundred four billion, forty-two million, twenty thousand, four hundred".