7969311441 has 135 divisors (see below), whose sum is σ = 15134452641. Its totient is φ = 4165027776.

The previous prime is 7969311439. The next prime is 7969311457. The reversal of 7969311441 is 1441139697.

It is a happy number.

The square root of 7969311441 is 89271.

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

It can be written as a sum of positive squares in 4 ways, for example, as 278723025 + 7690588416 = 16695^2 + 87696^2 .

It is not a de Polignac number, because 7969311441 - 2¹ = 7969311439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7969311461) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 73112895 + ... + 73113003.

Almost surely, 2^7969311441 is an apocalyptic number.

7969311441 is the 89271-st square number.

7969311441 is the 44636-th centered octagonal number.

It is an amenable number.

7969311441 is a deficient number, since it is larger than the sum of its proper divisors (7165141200).

7969311441 is a wasteful number, since it uses less digits than its factorization.

7969311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 132 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The cubic root of 7969311441 is about 1997.4393430004.

The spelling of 7969311441 in words is "seven billion, nine hundred sixty-nine million, three hundred eleven thousand, four hundred forty-one".