44304240344 has 64 divisors (see below), whose sum is σ = 102317644800. Its totient is φ = 17513737344.

The previous prime is 44304240329. The next prime is 44304240359.

44304240344 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44304240329) and next prime (44304240359).

It is a self number, because there is not a number n which added to its sum of digits gives 44304240344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972917 + ... + 1017435.

It is an arithmetic number, because the mean of its divisors is an integer number (1598713200).

Almost surely, 2^44304240344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44304240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51158822400).

44304240344 is an abundant number, since it is smaller than the sum of its proper divisors (58013404456).

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

44304240344 is a wasteful number, since it uses less digits than its factorization.

44304240344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45912 (or 45908 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The spelling of 44304240344 in words is "forty-four billion, three hundred four million, two hundred forty thousand, three hundred forty-four".