40904681 has 2 divisors, whose sum is σ = 40904682. Its totient is φ = 40904680.

The previous prime is 40904659. The next prime is 40904693. The reversal of 40904681 is 18640904.

40904681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32024281 + 8880400 = 5659^2 + 2980^2 .

It is a cyclic number.

It is not a de Polignac number, because 40904681 - 2¹⁴ = 40888297 is a prime.

It is a super-2 number, since 2×40904681² = 3346385855423522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40904621) 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 as a sum of consecutive naturals, namely, 20452340 + 20452341.

It is an arithmetic number, because the mean of its divisors is an integer number (20452341).

Almost surely, 2^40904681 is an apocalyptic number.

It is an amenable number.

40904681 is a deficient number, since it is larger than the sum of its proper divisors (1).

40904681 is an equidigital number, since it uses as much as digits as its factorization.

40904681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 40904681 is about 6395.6767429256. The cubic root of 40904681 is about 344.5542966724.

The spelling of 40904681 in words is "forty million, nine hundred four thousand, six hundred eighty-one".