441791513856 has 486 divisors, whose sum is σ = 1628761975386. Its totient is φ = 114747494400.

The previous prime is 441791513831. The next prime is 441791513903. The reversal of 441791513856 is 658315197144.

441791513856 is a `hidden beast` number, since 4 + 4 + 1 + 79 + 1 + 513 + 8 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 291185427456 + 150606086400 = 539616^2 + 388080^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13644246 + ... + 13676586.

Almost surely, 2^441791513856 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 441791513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814380987693).

441791513856 is an abundant number, since it is smaller than the sum of its proper divisors (1186970461530).

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

441791513856 is a wasteful number, since it uses less digits than its factorization.

441791513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32399 (or 32364 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 441791513856 in words is "four hundred forty-one billion, seven hundred ninety-one million, five hundred thirteen thousand, eight hundred fifty-six".