444307959360 has 336 divisors, whose sum is σ = 1632691070400. Its totient is φ = 110569992192.

The previous prime is 444307959353. The next prime is 444307959373. The reversal of 444307959360 is 63959703444.

It is a happy number.

444307959360 is a `hidden beast` number, since 4 + 4 + 43 + 0 + 7 + 9 + 593 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444307959297 and 444307959306.

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 47 ways as a sum of consecutive naturals, for example, 3605646 + ... + 3726834.

Almost surely, 2^444307959360 is an apocalyptic number.

444307959360 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 444307959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816345535200).

444307959360 is an abundant number, since it is smaller than the sum of its proper divisors (1188383111040).

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

444307959360 is a wasteful number, since it uses less digits than its factorization.

444307959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121298 (or 121285 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 444307959360 in words is "four hundred forty-four billion, three hundred seven million, nine hundred fifty-nine thousand, three hundred sixty".