444135384000 has 672 divisors, whose sum is σ = 1980799322112. Its totient is φ = 92286720000.

The previous prime is 444135383959. The next prime is 444135384031. The reversal of 444135384000 is 483531444.

444135384000 is a `hidden beast` number, since 44 + 41 + 3 + 538 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503945 + ... + 5584055.

Almost surely, 2^444135384000 is an apocalyptic number.

444135384000 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 444135384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990399661056).

444135384000 is an abundant number, since it is smaller than the sum of its proper divisors (1536663938112).

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

444135384000 is a wasteful number, since it uses less digits than its factorization.

444135384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80162 (or 80139 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 444135384000 in words is "four hundred forty-four billion, one hundred thirty-five million, three hundred eighty-four thousand".