444084088032 has 192 divisors, whose sum is σ = 1402113706560. Its totient is φ = 135932608512.

The previous prime is 444084087973. The next prime is 444084088111. The reversal of 444084088032 is 230880480444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2065348 + ... + 2270204.

It is an arithmetic number, because the mean of its divisors is an integer number (7302675555).

Almost surely, 2^444084088032 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 444084088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701056853280).

444084088032 is an abundant number, since it is smaller than the sum of its proper divisors (958029618528).

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

444084088032 is a wasteful number, since it uses less digits than its factorization.

444084088032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205082 (or 205068 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 444084088032 in words is "four hundred forty-four billion, eighty-four million, eighty-eight thousand, thirty-two".