444307207344 has 320 divisors, whose sum is σ = 1550575423488. Its totient is φ = 105871795200.

The previous prime is 444307207261. The next prime is 444307207363. The reversal of 444307207344 is 443702703444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 444307207296 and 444307207305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7803459 + ... + 7860189.

Almost surely, 2^444307207344 is an apocalyptic number.

444307207344 is a gapful number since it is divisible by the number (44) 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 444307207344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775287711744).

444307207344 is an abundant number, since it is smaller than the sum of its proper divisors (1106268216144).

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

444307207344 is a wasteful number, since it uses less digits than its factorization.

444307207344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56936 (or 56930 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 42.

The spelling of 444307207344 in words is "four hundred forty-four billion, three hundred seven million, two hundred seven thousand, three hundred forty-four".