44431333313444 has 144 divisors (see below), whose sum is σ = 100788778944000. Its totient is φ = 17116398794880.

The previous prime is 44431333313417. The next prime is 44431333313509.

44431333313444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44431333313444² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44431333313395 and 44431333313404.

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, 13271477 + ... + 16278659.

It is an arithmetic number, because the mean of its divisors is an integer number (699922076000).

Almost surely, 2^{44431333313444} is an apocalyptic number.

44431333313444 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 44431333313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50394389472000).

44431333313444 is an abundant number, since it is smaller than the sum of its proper divisors (56357445630556).

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

44431333313444 is a wasteful number, since it uses less digits than its factorization.

44431333313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007319 (or 3007292 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 4443133 and 3313444, that added together give a palindrome (7756577).

The spelling of 44431333313444 in words is "forty-four trillion, four hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, four hundred forty-four".