313045104400 has 90 divisors (see below), whose sum is σ = 874881263130. Its totient is φ = 107329743360.

The previous prime is 313045104391. The next prime is 313045104469. The reversal of 313045104400 is 4401540313.

It can be written as a sum of positive squares in 3 ways, for example, as 104641898256 + 208403206144 = 323484^2 + 456512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 17 ways as a sum of consecutive naturals, for example, 7966245 + ... + 8005444.

Almost surely, 2^313045104400 is an apocalyptic number.

It is an amenable number.

313045104400 is an abundant number, since it is smaller than the sum of its proper divisors (561836158730).

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

313045104400 is a wasteful number, since it uses less digits than its factorization.

313045104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15971721 (or 15971703 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 313045104400 its reverse (4401540313), we get a palindrome (317446644713).

The spelling of 313045104400 in words is "three hundred thirteen billion, forty-five million, one hundred four thousand, four hundred".