440979747942888 has 6144 divisors, whose sum is σ = 1817293750272000. Its totient is φ = 98860182220800.

The previous prime is 440979747942869. The next prime is 440979747942949. The reversal of 440979747942888 is 888249747979044.

440979747942888 is a `hidden beast` number, since 4 + 4 + 0 + 9 + 7 + 97 + 479 + 42 + 8 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 440979747942798 and 440979747942807.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 8320372602670 + ... + 8320372602722.

It is an arithmetic number, because the mean of its divisors is an integer number (295783488000).

Almost surely, 2^{440979747942888} 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 440979747942888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908646875136000).

440979747942888 is an abundant number, since it is smaller than the sum of its proper divisors (1376314002329112).

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

440979747942888 is a wasteful number, since it uses less digits than its factorization.

440979747942888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 65548320768, while the sum is 90.

The spelling of 440979747942888 in words is "four hundred forty trillion, nine hundred seventy-nine billion, seven hundred forty-seven million, nine hundred forty-two thousand, eight hundred eighty-eight".