813455294400 has 504 divisors, whose sum is σ = 3329519766144. Its totient is φ = 184510310400.

The previous prime is 813455294383. The next prime is 813455294417. The reversal of 813455294400 is 4492554318.

813455294400 is a `hidden beast` number, since 8 + 1 + 3 + 4 + 552 + 94 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (813455294383) and next prime (813455294417).

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13173999 + ... + 13235601.

Almost surely, 2^813455294400 is an apocalyptic number.

813455294400 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 813455294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664759883072).

813455294400 is an abundant number, since it is smaller than the sum of its proper divisors (2516064471744).

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

813455294400 is a wasteful number, since it uses less digits than its factorization.

813455294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61769 (or 61751 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 813455294400 in words is "eight hundred thirteen billion, four hundred fifty-five million, two hundred ninety-four thousand, four hundred".