40000409 has 2 divisors, whose sum is σ = 40000410. Its totient is φ = 40000408.

The previous prime is 40000369. The next prime is 40000417. The reversal of 40000409 is 90400004.

40000409 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., 28249225 + 11751184 = 5315^2 + 3428^2 .

It is a cyclic number.

It is not a de Polignac number, because 40000409 - 2²⁰ = 38951833 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40000489) 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, 20000204 + 20000205.

It is an arithmetic number, because the mean of its divisors is an integer number (20000205).

Almost surely, 2^40000409 is an apocalyptic number.

It is an amenable number.

40000409 is a deficient number, since it is larger than the sum of its proper divisors (1).

40000409 is an equidigital number, since it uses as much as digits as its factorization.

40000409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 40000409 is about 6324.5876545432. The cubic root of 40000409 is about 341.9963549650.

The spelling of 40000409 in words is "forty million, four hundred nine", and thus it is an aban number.