813469910400 has 2304 divisors, whose sum is σ = 3729136320000. Its totient is φ = 170877911040.

The previous prime is 813469910387. The next prime is 813469910411. The reversal of 813469910400 is 4019964318.

813469910400 is a `hidden beast` number, since 81 + 3 + 469 + 9 + 104 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5459529526 + ... + 5459529674.

It is an arithmetic number, because the mean of its divisors is an integer number (1618548750).

Almost surely, 2^813469910400 is an apocalyptic number.

813469910400 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 813469910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864568160000).

813469910400 is an abundant number, since it is smaller than the sum of its proper divisors (2915666409600).

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

813469910400 is a wasteful number, since it uses less digits than its factorization.

813469910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 813469910400 in words is "eight hundred thirteen billion, four hundred sixty-nine million, nine hundred ten thousand, four hundred".