413392331400 has 96 divisors (see below), whose sum is σ = 1286622338400. Its totient is φ = 109798720000.

The previous prime is 413392331257. The next prime is 413392331491. The reversal of 413392331400 is 4133293314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221885 + ... + 1523084.

It is an arithmetic number, because the mean of its divisors is an integer number (13402316025).

Almost surely, 2^413392331400 is an apocalyptic number.

413392331400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413392331400 is an abundant number, since it is smaller than the sum of its proper divisors (873230007000).

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

413392331400 is a wasteful number, since it uses less digits than its factorization.

413392331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745239 (or 2745230 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 413392331400 in words is "four hundred thirteen billion, three hundred ninety-two million, three hundred thirty-one thousand, four hundred".