441257289984 has 405 divisors, whose sum is σ = 1532891707347. Its totient is φ = 125882201088.

The previous prime is 441257289971. The next prime is 441257290027. The reversal of 441257289984 is 489982752144.

The square root of 441257289984 is 664272.

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

441257289984 is a `hidden beast` number, since 4 + 412 + 57 + 2 + 8 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 669585847 + ... + 669586505.

Almost surely, 2^441257289984 is an apocalyptic number.

441257289984 is the 664272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441257289984

441257289984 is an abundant number, since it is smaller than the sum of its proper divisors (1091634417363).

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

441257289984 is an frugal number, since it uses more digits than its factorization.

441257289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 671 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 441257289984 in words is "four hundred forty-one billion, two hundred fifty-seven million, two hundred eighty-nine thousand, nine hundred eighty-four".