44079842304 has 187 divisors, whose sum is σ = 132174955807. Its totient is φ = 14693280768.

The previous prime is 44079842267. The next prime is 44079842353. The reversal of 44079842304 is 40324897044.

The square root of 44079842304 is 209952.

It is a perfect power (a square), and thus also a powerful number.

44079842304 is a `hidden beast` number, since 4 + 407 + 9 + 8 + 4 + 230 + 4 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=324.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 44079842304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 14693280767 + 14693280768 + 14693280769.

Almost surely, 2^44079842304 is an apocalyptic number.

44079842304 is the 209952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44079842304

44079842304 is an abundant number, since it is smaller than the sum of its proper divisors (88095113503).

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

44079842304 is an frugal number, since it uses more digits than its factorization.

44079842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 44079842304 in words is "forty-four billion, seventy-nine million, eight hundred forty-two thousand, three hundred four".