44423311332444 has 192 divisors, whose sum is σ = 123151806328320. Its totient is φ = 12308603166720.

The previous prime is 44423311332343. The next prime is 44423311332479.

44423311332444 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 = 44423311332396 and 44423311332405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54309504 + ... + 55121400.

It is an arithmetic number, because the mean of its divisors is an integer number (641415657960).

Almost surely, 2^{44423311332444} is an apocalyptic number.

44423311332444 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 44423311332444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61575903164160).

44423311332444 is an abundant number, since it is smaller than the sum of its proper divisors (78728494995876).

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

44423311332444 is a wasteful number, since it uses less digits than its factorization.

44423311332444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812628 (or 812626 counting only the distinct ones).

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

It can be divided in two parts, 4442331 and 1332444, that added together give a palindrome (5774775).

The spelling of 44423311332444 in words is "forty-four trillion, four hundred twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, four hundred forty-four".