400413316257709 has 2 divisors, whose sum is σ = 400413316257710. Its totient is φ = 400413316257708.

The previous prime is 400413316257671. The next prime is 400413316257737. The reversal of 400413316257709 is 907752613314004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388266453252484 + 12146863005225 = 19704478^2 + 3485235^2 .

It is a cyclic number.

It is not a de Polignac number, because 400413316257709 - 2⁹ = 400413316257197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400413316255709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200206658128854 + 200206658128855.

It is an arithmetic number, because the mean of its divisors is an integer number (200206658128855).

Almost surely, 2^{400413316257709} is an apocalyptic number.

It is an amenable number.

400413316257709 is a deficient number, since it is larger than the sum of its proper divisors (1).

400413316257709 is an equidigital number, since it uses as much as digits as its factorization.

400413316257709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 400413316257709 in words is "four hundred trillion, four hundred thirteen billion, three hundred sixteen million, two hundred fifty-seven thousand, seven hundred nine".