9040396561 has 45 divisors (see below), whose sum is σ = 11416440909. Its totient is φ = 7137920832.

The previous prime is 9040396543. The next prime is 9040396567. The reversal of 9040396561 is 1656930409.

The square root of 9040396561 is 95081.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2805714961 + 6234681600 = 52969^2 + 78960^2 .

It is not a de Polignac number, because 9040396561 - 2¹³ = 9040388369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9040396567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 192348840 + ... + 192348886.

Almost surely, 2^9040396561 is an apocalyptic number.

9040396561 is the 95081-st square number.

9040396561 is the 47541-st centered octagonal number.

It is an amenable number.

9040396561 is a deficient number, since it is larger than the sum of its proper divisors (2376044348).

9040396561 is an frugal number, since it uses more digits than its factorization.

9040396561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The cubic root of 9040396561 is about 2083.1913350954.

The spelling of 9040396561 in words is "nine billion, forty million, three hundred ninety-six thousand, five hundred sixty-one".