812981944320 has 768 divisors, whose sum is σ = 3246995082240. Its totient is φ = 169114337280.

The previous prime is 812981944309. The next prime is 812981944487. The reversal of 812981944320 is 23449189218.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11450449885 + ... + 11450449955.

It is an arithmetic number, because the mean of its divisors is an integer number (4227858180).

Almost surely, 2^812981944320 is an apocalyptic number.

812981944320 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 812981944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623497541120).

812981944320 is an abundant number, since it is smaller than the sum of its proper divisors (2434013137920).

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

812981944320 is an frugal number, since it uses more digits than its factorization.

812981944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 812981944320 in words is "eight hundred twelve billion, nine hundred eighty-one million, nine hundred forty-four thousand, three hundred twenty".