44304433440344 has 256 divisors, whose sum is σ = 105915073305600. Its totient is φ = 16874984448000.

The previous prime is 44304433440343. The next prime is 44304433440353.

44304433440344 is nontrivially palindromic in base 10.

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 = 44304433440295 and 44304433440304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44304433440343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4318586687 + ... + 4318596945.

It is an arithmetic number, because the mean of its divisors is an integer number (413730755100).

Almost surely, 2^{44304433440344} is an apocalyptic number.

44304433440344 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 44304433440344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52957536652800).

44304433440344 is an abundant number, since it is smaller than the sum of its proper divisors (61610639865256).

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

44304433440344 is a wasteful number, since it uses less digits than its factorization.

44304433440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11194 (or 11190 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 44.

It can be divided in two parts, 4430443 and 3440344, that added together give a palindrome (7870787).

The spelling of 44304433440344 in words is "forty-four trillion, three hundred four billion, four hundred thirty-three million, four hundred forty thousand, three hundred forty-four".