441554934016 has 243 divisors, whose sum is σ = 1092272898339. Its totient is φ = 177595858944.

The previous prime is 441554933987. The next prime is 441554934043. The reversal of 441554934016 is 610439455144.

The square root of 441554934016 is 664496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 116308281600 + 325246652416 = 341040^2 + 570304^2 .

It is a super-2 number, since 2×441554934016² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1265200210 + ... + 1265200558.

Almost surely, 2^441554934016 is an apocalyptic number.

441554934016 is the 664496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441554934016

441554934016 is an abundant number, since it is smaller than the sum of its proper divisors (650717964323).

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

441554934016 is an frugal number, since it uses more digits than its factorization.

441554934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 441554934016 in words is "four hundred forty-one billion, five hundred fifty-four million, nine hundred thirty-four thousand, sixteen".