441571402656 has 144 divisors (see below), whose sum is σ = 1262153430720. Its totient is φ = 146438138880.

The previous prime is 441571402619. The next prime is 441571402661. The reversal of 441571402656 is 656204175144.

441571402656 is a `hidden beast` number, since 4 + 4 + 1 + 571 + 4 + 0 + 26 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47945380 + ... + 47954588.

It is an arithmetic number, because the mean of its divisors is an integer number (8764954380).

Almost surely, 2^441571402656 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 441571402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631076715360).

441571402656 is an abundant number, since it is smaller than the sum of its proper divisors (820582028064).

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

441571402656 is a wasteful number, since it uses less digits than its factorization.

441571402656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059 (or 10048 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 441571402656 in words is "four hundred forty-one billion, five hundred seventy-one million, four hundred two thousand, six hundred fifty-six".