444425968000 has 256 divisors, whose sum is σ = 1337092997760. Its totient is φ = 143410790400.

The previous prime is 444425967989. The next prime is 444425968073. The reversal of 444425968000 is 869524444.

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 31 ways as a sum of consecutive naturals, for example, 1787292 + ... + 2020708.

Almost surely, 2^444425968000 is an apocalyptic number.

444425968000 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 444425968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668546498880).

444425968000 is an abundant number, since it is smaller than the sum of its proper divisors (892667029760).

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

444425968000 is a wasteful number, since it uses less digits than its factorization.

444425968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233470 (or 233448 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 444425968000 in words is "four hundred forty-four billion, four hundred twenty-five million, nine hundred sixty-eight thousand".