44413444431444 has 144 divisors (see below), whose sum is σ = 117732645035264. Its totient is φ = 13011463745280.

The previous prime is 44413444431439. The next prime is 44413444431451.

44413444431444 is nontrivially palindromic in base 10.

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 = 44413444431393 and 44413444431402.

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, 5801877 + ... + 11067459.

Almost surely, 2^{44413444431444} is an apocalyptic number.

44413444431444 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 44413444431444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58866322517632).

44413444431444 is an abundant number, since it is smaller than the sum of its proper divisors (73319200603820).

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

44413444431444 is a wasteful number, since it uses less digits than its factorization.

44413444431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265806 (or 5265793 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

It can be divided in two parts, 4441344 and 4431444, that added together give a palindrome (8872788).

The spelling of 44413444431444 in words is "forty-four trillion, four hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, four hundred forty-four".