40614743961 has 81 divisors (see below), whose sum is σ = 66971001279. Its totient is φ = 23700045600.

The previous prime is 40614743933. The next prime is 40614743987. The reversal of 40614743961 is 16934741604.

The square root of 40614743961 is 201531.

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

40614743961 is a `hidden beast` number, since 406 + 147 + 43 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39794265225 + 820478736 = 199485^2 + 28644^2 .

It is not a de Polignac number, because 40614743961 - 2⁵ = 40614743929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40614741961) 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, 206166115 + ... + 206166311.

Almost surely, 2^40614743961 is an apocalyptic number.

40614743961 is the 201531-st square number.

40614743961 is the 100766-th centered octagonal number.

It is an amenable number.

40614743961 is a deficient number, since it is larger than the sum of its proper divisors (26356257318).

40614743961 is a wasteful number, since it uses less digits than its factorization.

40614743961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40614743961 in words is "forty billion, six hundred fourteen million, seven hundred forty-three thousand, nine hundred sixty-one".