813918412800 has 1344 divisors, whose sum is σ = 3224384102400. Its totient is φ = 200658124800.

The previous prime is 813918412763. The next prime is 813918412823. The reversal of 813918412800 is 8214819318.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6408806337 + ... + 6408806463.

Almost surely, 2^813918412800 is an apocalyptic number.

813918412800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813918412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612192051200).

813918412800 is an abundant number, since it is smaller than the sum of its proper divisors (2410465689600).

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

813918412800 is a wasteful number, since it uses less digits than its factorization.

813918412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 813918412800 in words is "eight hundred thirteen billion, nine hundred eighteen million, four hundred twelve thousand, eight hundred".