444340411008 has 256 divisors, whose sum is σ = 1296863447040. Its totient is φ = 133969489920.

The previous prime is 444340410971. The next prime is 444340411027. The reversal of 444340411008 is 800114043444.

It is a self number, because there is not a number n which added to its sum of digits gives 444340411008.

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, 59186391 + ... + 59193897.

It is an arithmetic number, because the mean of its divisors is an integer number (5065872840).

Almost surely, 2^444340411008 is an apocalyptic number.

444340411008 is a gapful number since it is divisible by the number (48) 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 444340411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648431723520).

444340411008 is an abundant number, since it is smaller than the sum of its proper divisors (852523036032).

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

444340411008 is a wasteful number, since it uses less digits than its factorization.

444340411008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 444340411008 in words is "four hundred forty-four billion, three hundred forty million, four hundred eleven thousand, eight".