444364704000 has 1440 divisors, whose sum is σ = 1990859270400. Its totient is φ = 96148684800.

The previous prime is 444364703999. The next prime is 444364704023. The reversal of 444364704000 is 407463444.

444364704000 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 647 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×444364704000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 344735356 + ... + 344736644.

It is an arithmetic number, because the mean of its divisors is an integer number (1382541160).

Almost surely, 2^444364704000 is an apocalyptic number.

444364704000 is a gapful number since it is divisible by the number (40) 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 444364704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995429635200).

444364704000 is an abundant number, since it is smaller than the sum of its proper divisors (1546494566400).

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

444364704000 is a wasteful number, since it uses less digits than its factorization.

444364704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 444364704000 in words is "four hundred forty-four billion, three hundred sixty-four million, seven hundred four thousand".