813407347400 has 48 divisors (see below), whose sum is σ = 1891298257200. Its totient is φ = 325341231680.

The previous prime is 813407347369. The next prime is 813407347427. The reversal of 813407347400 is 4743704318.

813407347400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×813407347400⁴ (a number of 49 digits) contains 4444 as substring.

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, 3056891 + ... + 3312309.

It is an arithmetic number, because the mean of its divisors is an integer number (39402047025).

Almost surely, 2^813407347400 is an apocalyptic number.

It is an amenable number.

813407347400 is an abundant number, since it is smaller than the sum of its proper divisors (1077890909800).

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

813407347400 is a wasteful number, since it uses less digits than its factorization.

813407347400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271358 (or 271349 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 813407347400 in words is "eight hundred thirteen billion, four hundred seven million, three hundred forty-seven thousand, four hundred".