79959438441 has 27 divisors (see below), whose sum is σ = 119967428893. Its totient is φ = 53291022660.

The previous prime is 79959438439. The next prime is 79959438451. The reversal of 79959438441 is 14483495997.

The square root of 79959438441 is 282771.

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

79959438441 is a `hidden beast` number, since 7 + 9 + 9 + 594 + 38 + 4 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 79959438441 - 2¹ = 79959438439 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (79959438451) 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 26 ways as a sum of consecutive naturals, for example, 22902706 + ... + 22906196.

Almost surely, 2^79959438441 is an apocalyptic number.

79959438441 is the 282771-st square number.

79959438441 is the 141386-th centered octagonal number.

It is an amenable number.

79959438441 is a deficient number, since it is larger than the sum of its proper divisors (40007990452).

79959438441 is an frugal number, since it uses more digits than its factorization.

79959438441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 3494 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

It can be divided in two parts, 79959 and 438441, that added together give a square (518400 = 720²).

The spelling of 79959438441 in words is "seventy-nine billion, nine hundred fifty-nine million, four hundred thirty-eight thousand, four hundred forty-one".