441306118656 has 960 divisors, whose sum is σ = 1509983354880. Its totient is φ = 122903101440.

The previous prime is 441306118639. The next prime is 441306118709. The reversal of 441306118656 is 656811603144.

441306118656 is a `hidden beast` number, since 4 + 413 + 0 + 6 + 1 + 186 + 56 = 666.

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, 3474851265 + ... + 3474851391.

It is an arithmetic number, because the mean of its divisors is an integer number (1572899328).

Almost surely, 2^441306118656 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 441306118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754991677440).

441306118656 is an abundant number, since it is smaller than the sum of its proper divisors (1068677236224).

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

441306118656 is a wasteful number, since it uses less digits than its factorization.

441306118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 441306118656 in words is "four hundred forty-one billion, three hundred six million, one hundred eighteen thousand, six hundred fifty-six".