444046802620032 has 512 divisors, whose sum is σ = 1341956341440000. Its totient is φ = 144511194562560.

The previous prime is 444046802619983. The next prime is 444046802620063. The reversal of 444046802620032 is 230026208640444.

444046802620032 is a `hidden beast` number, since 4 + 4 + 404 + 6 + 8 + 0 + 2 + 6 + 200 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 444046802620032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64645039894 + ... + 64645046762.

It is an arithmetic number, because the mean of its divisors is an integer number (2621008479375).

Almost surely, 2^{444046802620032} 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 444046802620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670978170720000).

444046802620032 is an abundant number, since it is smaller than the sum of its proper divisors (897909538819968).

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

444046802620032 is a wasteful number, since it uses less digits than its factorization.

444046802620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 444046802620032 in words is "four hundred forty-four trillion, forty-six billion, eight hundred two million, six hundred twenty thousand, thirty-two".