406375135417 has 2 divisors, whose sum is σ = 406375135418. Its totient is φ = 406375135416.

The previous prime is 406375135367. The next prime is 406375135433. The reversal of 406375135417 is 714531573604.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406150015401 + 225120016 = 637299^2 + 15004^2 .

It is a cyclic number.

It is not a de Polignac number, because 406375135417 - 2³¹ = 404227651769 is a prime.

It is not a weakly prime, because it can be changed into another prime (406375135477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203187567708 + 203187567709.

It is an arithmetic number, because the mean of its divisors is an integer number (203187567709).

Almost surely, 2^406375135417 is an apocalyptic number.

It is an amenable number.

406375135417 is a deficient number, since it is larger than the sum of its proper divisors (1).

406375135417 is an equidigital number, since it uses as much as digits as its factorization.

406375135417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 406375135417 in words is "four hundred six billion, three hundred seventy-five million, one hundred thirty-five thousand, four hundred seventeen".