441790515072 has 192 divisors, whose sum is σ = 1344750170400. Its totient is φ = 138930536448.

The previous prime is 441790515043. The next prime is 441790515073. The reversal of 441790515072 is 270515097144.

441790515072 is a `hidden beast` number, since 4 + 4 + 1 + 7 + 90 + 51 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441790515073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1820004 + ... + 2048412.

Almost surely, 2^441790515072 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 441790515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672375085200).

441790515072 is an abundant number, since it is smaller than the sum of its proper divisors (902959655328).

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

441790515072 is a wasteful number, since it uses less digits than its factorization.

441790515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228525 (or 228510 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 441790515072 in words is "four hundred forty-one billion, seven hundred ninety million, five hundred fifteen thousand, seventy-two".