44330322303344 has 160 divisors (see below), whose sum is σ = 107405692262400. Its totient is φ = 17219684401920.

The previous prime is 44330322303343. The next prime is 44330322303347.

44330322303344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44330322303298 and 44330322303307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44330322303343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578845247 + ... + 578921825.

It is an arithmetic number, because the mean of its divisors is an integer number (671285576640).

Almost surely, 2^{44330322303344} is an apocalyptic number.

44330322303344 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 44330322303344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53702846131200).

44330322303344 is an abundant number, since it is smaller than the sum of its proper divisors (63075369959056).

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

44330322303344 is a wasteful number, since it uses less digits than its factorization.

44330322303344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78011 (or 78005 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

It can be divided in two parts, 4433032 and 2303344, that added together give a palindrome (6736376).

The spelling of 44330322303344 in words is "forty-four trillion, three hundred thirty billion, three hundred twenty-two million, three hundred three thousand, three hundred forty-four".