444181930000 has 100 divisors (see below), whose sum is σ = 1080817777600. Its totient is φ = 176779152000.

The previous prime is 444181929949. The next prime is 444181930019. The reversal of 444181930000 is 39181444.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1878397 + ... + 2101603.

It is an arithmetic number, because the mean of its divisors is an integer number (10808177776).

Almost surely, 2^444181930000 is an apocalyptic number.

444181930000 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 444181930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540408888800).

444181930000 is an abundant number, since it is smaller than the sum of its proper divisors (636635847600).

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

444181930000 is a wasteful number, since it uses less digits than its factorization.

444181930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223434 (or 223413 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 444181930000 in words is "four hundred forty-four billion, one hundred eighty-one million, nine hundred thirty thousand".