44331044013344 has 48 divisors (see below), whose sum is σ = 95213937218400. Its totient is φ = 20149851279360.

The previous prime is 44331044013343. The next prime is 44331044013379.

44331044013344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44331044013298 and 44331044013307.

It is not an unprimeable number, because it can be changed into a prime (44331044013343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9544832 + ... + 13407680.

It is an arithmetic number, because the mean of its divisors is an integer number (1983623692050).

Almost surely, 2^{44331044013344} is an apocalyptic number.

44331044013344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44331044013344 is an abundant number, since it is smaller than the sum of its proper divisors (50882893205056).

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

44331044013344 is a wasteful number, since it uses less digits than its factorization.

44331044013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895473 (or 3895465 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 4433104 and 4013344, that added together give a palindrome (8446448).

The spelling of 44331044013344 in words is "forty-four trillion, three hundred thirty-one billion, forty-four million, thirteen thousand, three hundred forty-four".