79344821120041 has 9 divisors (see below), whose sum is σ = 81987181659639. Its totient is φ = 76785043534200.

The previous prime is 79344821120039. The next prime is 79344821120087. The reversal of 79344821120041 is 14002112844397.

It is a happy number.

The square root of 79344821120041 is 8907571.

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

It can be written as a sum of positive squares in only one way, i.e., 14989449167641 + 64355371952400 = 3871621^2 + 8022180^2 .

It is not a de Polignac number, because 79344821120041 - 2¹ = 79344821120039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 79344821119973 and 79344821120000.

It is not an unprimeable number, because it can be changed into a prime (79344821120011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 275991031 + ... + 276278371.

It is an arithmetic number, because the mean of its divisors is an integer number (9109686851071).

Almost surely, 2^{79344821120041} is an apocalyptic number.

79344821120041 is the 8907571-st square number.

79344821120041 is the 4453786-th centered octagonal number.

It is an amenable number.

79344821120041 is a deficient number, since it is larger than the sum of its proper divisors (2642360539598).

79344821120041 is an frugal number, since it uses more digits than its factorization.

79344821120041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574744 (or 287372 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 79344821120041 in words is "seventy-nine trillion, three hundred forty-four billion, eight hundred twenty-one million, one hundred twenty thousand, forty-one".