813923126400 has 384 divisors, whose sum is σ = 2747388441600. Its totient is φ = 211675484160.

The previous prime is 813923126389. The next prime is 813923126431. The reversal of 813923126400 is 4621329318.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399176581 + ... + 399178619.

It is an arithmetic number, because the mean of its divisors is an integer number (7154657400).

Almost surely, 2^813923126400 is an apocalyptic number.

813923126400 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 813923126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373694220800).

813923126400 is an abundant number, since it is smaller than the sum of its proper divisors (1933465315200).

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

813923126400 is a wasteful number, since it uses less digits than its factorization.

813923126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 813923126400 in words is "eight hundred thirteen billion, nine hundred twenty-three million, one hundred twenty-six thousand, four hundred".