444360018960 has 1200 divisors, whose sum is σ = 1877270472000. Its totient is φ = 96036710400.

The previous prime is 444360018941. The next prime is 444360019003. The reversal of 444360018960 is 69810063444.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 890500791 + ... + 890501289.

It is an arithmetic number, because the mean of its divisors is an integer number (1564392060).

Almost surely, 2^444360018960 is an apocalyptic number.

444360018960 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 444360018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938635236000).

444360018960 is an abundant number, since it is smaller than the sum of its proper divisors (1432910453040).

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

444360018960 is a wasteful number, since it uses less digits than its factorization.

444360018960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 444360018960 in words is "four hundred forty-four billion, three hundred sixty million, eighteen thousand, nine hundred sixty".