40589757961 has 27 divisors (see below), whose sum is σ = 43020135207. Its totient is φ = 38295227520.

The previous prime is 40589757953. The next prime is 40589757979. The reversal of 40589757961 is 16975798504.

The square root of 40589757961 is 201469.

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., 18226350025 + 22363407936 = 135005^2 + 149544^2 .

It is not a de Polignac number, because 40589757961 - 2³ = 40589757953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40589757961.

It is not an unprimeable number, because it can be changed into a prime (40589757161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 418451065 + ... + 418451161.

It is an arithmetic number, because the mean of its divisors is an integer number (1593338341).

Almost surely, 2^40589757961 is an apocalyptic number.

40589757961 is the 201469-th square number.

40589757961 is the 100735-th centered octagonal number.

It is an amenable number.

40589757961 is a deficient number, since it is larger than the sum of its proper divisors (2430377246).

40589757961 is an frugal number, since it uses more digits than its factorization.

40589757961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 40589757961 in words is "forty billion, five hundred eighty-nine million, seven hundred fifty-seven thousand, nine hundred sixty-one".