444214112304 has 80 divisors (see below), whose sum is σ = 1175912486784. Its totient is φ = 144414374400.

The previous prime is 444214112281. The next prime is 444214112327. The reversal of 444214112304 is 403211412444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444214112281) and next prime (444214112327).

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 15 ways as a sum of consecutive naturals, for example, 6521527 + ... + 6589289.

Almost surely, 2^444214112304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444214112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587956243392).

444214112304 is an abundant number, since it is smaller than the sum of its proper divisors (731698374480).

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

444214112304 is a wasteful number, since it uses less digits than its factorization.

444214112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71146 (or 71140 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 444214112304 its reverse (403211412444), we get a palindrome (847425524748).

The spelling of 444214112304 in words is "four hundred forty-four billion, two hundred fourteen million, one hundred twelve thousand, three hundred four".