444034122224 has 160 divisors (see below), whose sum is σ = 1110368217600. Its totient is φ = 166917381120.

The previous prime is 444034122167. The next prime is 444034122241. The reversal of 444034122224 is 422221430444.

It is a congruent number.

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, 63913919 + ... + 63920865.

It is an arithmetic number, because the mean of its divisors is an integer number (6939801360).

Almost surely, 2^444034122224 is an apocalyptic number.

444034122224 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 444034122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555184108800).

444034122224 is an abundant number, since it is smaller than the sum of its proper divisors (666334095376).

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

444034122224 is a wasteful number, since it uses less digits than its factorization.

444034122224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 444034122224 its reverse (422221430444), we get a palindrome (866255552668).

The spelling of 444034122224 in words is "four hundred forty-four billion, thirty-four million, one hundred twenty-two thousand, two hundred twenty-four".