441977983920 has 960 divisors, whose sum is σ = 1763415134208. Its totient is φ = 101896704000.

The previous prime is 441977983897. The next prime is 441977983921. The reversal of 441977983920 is 29389779144.

441977983920 is a `hidden beast` number, since 441 + 9 + 77 + 98 + 39 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (441977983921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 404370894 + ... + 404371986.

Almost surely, 2^441977983920 is an apocalyptic number.

441977983920 is a gapful number since it is divisible by the number (40) 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 441977983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881707567104).

441977983920 is an abundant number, since it is smaller than the sum of its proper divisors (1321437150288).

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

441977983920 is a wasteful number, since it uses less digits than its factorization.

441977983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 441977983920 in words is "four hundred forty-one billion, nine hundred seventy-seven million, nine hundred eighty-three thousand, nine hundred twenty".