940977872800 has 576 divisors, whose sum is σ = 2849817600000. Its totient is φ = 296164823040.

The previous prime is 940977872773. The next prime is 940977872881. The reversal of 940977872800 is 8278779049.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1885726951 + ... + 1885727449.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600000).

Almost surely, 2^940977872800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940977872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800000).

940977872800 is an abundant number, since it is smaller than the sum of its proper divisors (1908839727200).

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

940977872800 is a wasteful number, since it uses less digits than its factorization.

940977872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 61.

The spelling of 940977872800 in words is "nine hundred forty billion, nine hundred seventy-seven million, eight hundred seventy-two thousand, eight hundred".