813412540800 has 384 divisors, whose sum is σ = 2981669875200. Its totient is φ = 216559872000.

The previous prime is 813412540799. The next prime is 813412540807. The reversal of 813412540800 is 8045214318.

813412540800 is a `hidden beast` number, since 8 + 1 + 34 + 1 + 2 + 540 + 80 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813412540807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55893525 + ... + 55908075.

It is an arithmetic number, because the mean of its divisors is an integer number (7764765300).

Almost surely, 2^813412540800 is an apocalyptic number.

813412540800 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 813412540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490834937600).

813412540800 is an abundant number, since it is smaller than the sum of its proper divisors (2168257334400).

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

813412540800 is a wasteful number, since it uses less digits than its factorization.

813412540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15231 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 813412540800 in words is "eight hundred thirteen billion, four hundred twelve million, five hundred forty thousand, eight hundred".