9716242041 has 81 divisors (see below), whose sum is σ = 16133338767. Its totient is φ = 5630375520.

The previous prime is 9716242027. The next prime is 9716242049. The reversal of 9716242041 is 1402426179.

It is a happy number.

The square root of 9716242041 is 98571.

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

9716242041 is a `hidden beast` number, since 9 + 7 + 1 + 624 + 20 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5094961641 + 4621280400 = 71379^2 + 67980^2 .

It is not a de Polignac number, because 9716242041 - 2¹⁵ = 9716209273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9716241987 and 9716242005.

It is not an unprimeable number, because it can be changed into a prime (9716242049) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 94332396 + ... + 94332498.

Almost surely, 2^9716242041 is an apocalyptic number.

9716242041 is the 98571-st square number.

9716242041 is the 49286-th centered octagonal number.

It is an amenable number.

9716242041 is a deficient number, since it is larger than the sum of its proper divisors (6417096726).

9716242041 is a wasteful number, since it uses less digits than its factorization.

9716242041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 9716242041 is about 2133.8609131017.

Multiplying 9716242041 by its sum of digits (36), we get a square (349784713476 = 591426²).

The spelling of 9716242041 in words is "nine billion, seven hundred sixteen million, two hundred forty-two thousand, forty-one".