444973044096 has 384 divisors, whose sum is σ = 1489224023040. Its totient is φ = 124903710720.

The previous prime is 444973044073. The next prime is 444973044121. The reversal of 444973044096 is 690440379444.

444973044096 is a `hidden beast` number, since 4 + 4 + 49 + 73 + 0 + 440 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 166592841 + ... + 166595511.

It is an arithmetic number, because the mean of its divisors is an integer number (3878187560).

Almost surely, 2^444973044096 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 444973044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744612011520).

444973044096 is an abundant number, since it is smaller than the sum of its proper divisors (1044250978944).

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

444973044096 is a wasteful number, since it uses less digits than its factorization.

444973044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 444973044096 in words is "four hundred forty-four billion, nine hundred seventy-three million, forty-four thousand, ninety-six".