441563413824 has 448 divisors, whose sum is σ = 1423503782400. Its totient is φ = 133401821184.

The previous prime is 441563413817. The next prime is 441563413909. The reversal of 441563413824 is 428314365144.

441563413824 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 634 + 1 + 3 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 441563413824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480482037 + ... + 480482955.

It is an arithmetic number, because the mean of its divisors is an integer number (3177463800).

Almost surely, 2^441563413824 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 441563413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711751891200).

441563413824 is an abundant number, since it is smaller than the sum of its proper divisors (981940368576).

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

441563413824 is a wasteful number, since it uses less digits than its factorization.

441563413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

Adding to 441563413824 its reverse (428314365144), we get a palindrome (869877778968).

The spelling of 441563413824 in words is "four hundred forty-one billion, five hundred sixty-three million, four hundred thirteen thousand, eight hundred twenty-four".