44431322313444 has 384 divisors, whose sum is σ = 127810417459200. Its totient is φ = 11858228928000.

The previous prime is 44431322313397. The next prime is 44431322313451.

44431322313444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44431322313444² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44431322313396 and 44431322313405.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227159649 + ... + 227355159.

It is an arithmetic number, because the mean of its divisors is an integer number (332839628800).

Almost surely, 2^{44431322313444} is an apocalyptic number.

44431322313444 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 44431322313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63905208729600).

44431322313444 is an abundant number, since it is smaller than the sum of its proper divisors (83379095145756).

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

44431322313444 is a wasteful number, since it uses less digits than its factorization.

44431322313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195695 (or 195693 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4443132 and 2313444, that added together give a palindrome (6756576).

The spelling of 44431322313444 in words is "forty-four trillion, four hundred thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, four hundred forty-four".