10400313200 has 60 divisors (see below), whose sum is σ = 25001537448. Its totient is φ = 4157664000.

The previous prime is 10400313191. The next prime is 10400313247. The reversal of 10400313200 is 231300401.

It is a super-3 number, since 3×10400313200³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 766475 + ... + 779925.

Almost surely, 2^10400313200 is an apocalyptic number.

10400313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400313200 is an abundant number, since it is smaller than the sum of its proper divisors (14601224248).

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

10400313200 is a wasteful number, since it uses less digits than its factorization.

10400313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15402 (or 15391 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10400313200 its reverse (231300401), we get a palindrome (10631613601).

The spelling of 10400313200 in words is "ten billion, four hundred million, three hundred thirteen thousand, two hundred".