444721964544 has 1600 divisors, whose sum is σ = 1676952668160. Its totient is φ = 115458048000.

The previous prime is 444721964527. The next prime is 444721964551. The reversal of 444721964544 is 445469127444.

444721964544 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 2 + 1 + 96 + 4 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (15482880) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7537660387 + ... + 7537660445.

Almost surely, 2^444721964544 is an apocalyptic number.

444721964544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444721964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838476334080).

444721964544 is an abundant number, since it is smaller than the sum of its proper divisors (1232230703616).

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

444721964544 is a wasteful number, since it uses less digits than its factorization.

444721964544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 444721964544 in words is "four hundred forty-four billion, seven hundred twenty-one million, nine hundred sixty-four thousand, five hundred forty-four".