400434243444217 has 2 divisors, whose sum is σ = 400434243444218. Its totient is φ = 400434243444216.

The previous prime is 400434243444211. The next prime is 400434243444239. The reversal of 400434243444217 is 712444342434004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205056357004521 + 195377886439696 = 14319789^2 + 13977764^2 .

It is a cyclic number.

It is not a de Polignac number, because 400434243444217 - 2²³ = 400434235055609 is a prime.

It is not a weakly prime, because it can be changed into another prime (400434243444211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200217121722108 + 200217121722109.

It is an arithmetic number, because the mean of its divisors is an integer number (200217121722109).

Almost surely, 2^{400434243444217} is an apocalyptic number.

It is an amenable number.

400434243444217 is a deficient number, since it is larger than the sum of its proper divisors (1).

400434243444217 is an equidigital number, since it uses as much as digits as its factorization.

400434243444217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4128768, while the sum is 46.

The spelling of 400434243444217 in words is "four hundred trillion, four hundred thirty-four billion, two hundred forty-three million, four hundred forty-four thousand, two hundred seventeen".