44331444413344 has 144 divisors (see below), whose sum is σ = 100149360159744. Its totient is φ = 19265838225920.

The previous prime is 44331444413293. The next prime is 44331444413369.

44331444413344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 44331444413294 and 44331444413303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199107009 + ... + 199329535.

It is an arithmetic number, because the mean of its divisors is an integer number (695481667776).

Almost surely, 2^{44331444413344} is an apocalyptic number.

44331444413344 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 44331444413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50074680079872).

44331444413344 is an abundant number, since it is smaller than the sum of its proper divisors (55817915746400).

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

44331444413344 is a wasteful number, since it uses less digits than its factorization.

44331444413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224819 (or 224800 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 4433144 and 4413344, that added together give a palindrome (8846488).

The spelling of 44331444413344 in words is "forty-four trillion, three hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, three hundred forty-four".