9409979569761 has 45 divisors (see below), whose sum is σ = 14836484797761. Its totient is φ = 5942813693976.

The previous prime is 9409979569703. The next prime is 9409979569769. The reversal of 9409979569761 is 1679659799049.

It is a happy number.

The square root of 9409979569761 is 3067569.

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

9409979569761 is a `hidden beast` number, since 9 + 40 + 9 + 9 + 7 + 9 + 569 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 9409979569761 - 2¹³ = 9409979561569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (9409979569769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 524545330 + ... + 524563268.

Almost surely, 2^{9409979569761} is an apocalyptic number.

9409979569761 is the 3067569-th square number.

9409979569761 is the 1533785-th centered octagonal number.

It is an amenable number.

9409979569761 is a deficient number, since it is larger than the sum of its proper divisors (5426505228000).

9409979569761 is an frugal number, since it uses more digits than its factorization.

9409979569761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35928 (or 17961 counting only the distinct ones).

The product of its (nonzero) digits is 2083248720, while the sum is 81.

Multiplying 9409979569761 by its sum of digits (81), we get a square (762208345150641 = 27608121²).

9409979569761 divided by its sum of digits (81) gives a square (116172587281 = 340841²).

The spelling of 9409979569761 in words is "nine trillion, four hundred nine billion, nine hundred seventy-nine million, five hundred sixty-nine thousand, seven hundred sixty-one".