812681318400 has 1248 divisors, whose sum is σ = 3232507772928. Its totient is φ = 176239411200.

The previous prime is 812681318269. The next prime is 812681318401. The reversal of 812681318400 is 4813186218.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812681318401) 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 95 ways as a sum of consecutive naturals, for example, 4866355117 + ... + 4866355283.

Almost surely, 2^812681318400 is an apocalyptic number.

812681318400 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 812681318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616253886464).

812681318400 is an abundant number, since it is smaller than the sum of its proper divisors (2419826454528).

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

812681318400 is a wasteful number, since it uses less digits than its factorization.

812681318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 812681318400 in words is "eight hundred twelve billion, six hundred eighty-one million, three hundred eighteen thousand, four hundred".