44321412344 has 192 divisors, whose sum is σ = 97813094400. Its totient is φ = 18773314560.

The previous prime is 44321412323. The next prime is 44321412353.

44321412344 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44321412344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198750617 + ... + 198750839.

It is an arithmetic number, because the mean of its divisors is an integer number (509443200).

Almost surely, 2^44321412344 is an apocalyptic number.

44321412344 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 44321412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48906547200).

44321412344 is an abundant number, since it is smaller than the sum of its proper divisors (53491682056).

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

44321412344 is a wasteful number, since it uses less digits than its factorization.

44321412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 44321412344 in words is "forty-four billion, three hundred twenty-one million, four hundred twelve thousand, three hundred forty-four".