444507320327000 has 512 divisors, whose sum is σ = 1307049401548800. Its totient is φ = 137979242496000.

The previous prime is 444507320326973. The next prime is 444507320327011. The reversal of 444507320327000 is 723023705444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 615702236 + ... + 616423764.

It is an arithmetic number, because the mean of its divisors is an integer number (2552830862400).

Almost surely, 2^{444507320327000} is an apocalyptic number.

444507320327000 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 444507320327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653524700774400).

444507320327000 is an abundant number, since it is smaller than the sum of its proper divisors (862542081221800).

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

444507320327000 is a wasteful number, since it uses less digits than its factorization.

444507320327000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721772 (or 721758 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 41.

The spelling of 444507320327000 in words is "four hundred forty-four trillion, five hundred seven billion, three hundred twenty million, three hundred twenty-seven thousand".