40590563841 has 9 divisors (see below), whose sum is σ = 58631687491. Its totient is φ = 27059972952.

The previous prime is 40590563813. The next prime is 40590563857. The reversal of 40590563841 is 14836509504.

The square root of 40590563841 is 201471.

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

40590563841 is a `hidden beast` number, since 4 + 0 + 5 + 9 + 0 + 5 + 638 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1305738225 + 39284825616 = 36135^2 + 198204^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 40590563841 - 2²⁹ = 40053692929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40590563891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 570835 + ... + 637991.

Almost surely, 2^40590563841 is an apocalyptic number.

40590563841 is the 201471-st square number.

40590563841 is the 100736-th centered octagonal number.

It is an amenable number.

40590563841 is a deficient number, since it is larger than the sum of its proper divisors (18041123650).

40590563841 is an frugal number, since it uses more digits than its factorization.

40590563841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134320 (or 67160 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40590563841 in words is "forty billion, five hundred ninety million, five hundred sixty-three thousand, eight hundred forty-one".