441223518816 has 960 divisors, whose sum is σ = 1481647749120. Its totient is φ = 128188293120.

The previous prime is 441223518793. The next prime is 441223518877. The reversal of 441223518816 is 618815322144.

441223518816 is a `hidden beast` number, since 4 + 4 + 122 + 3 + 518 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4123584235 + ... + 4123584341.

It is an arithmetic number, because the mean of its divisors is an integer number (1543383072).

Almost surely, 2^441223518816 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 441223518816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740823874560).

441223518816 is an abundant number, since it is smaller than the sum of its proper divisors (1040424230304).

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

441223518816 is a wasteful number, since it uses less digits than its factorization.

441223518816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 441223518816 in words is "four hundred forty-one billion, two hundred twenty-three million, five hundred eighteen thousand, eight hundred sixteen".