400413316323281 has 2 divisors, whose sum is σ = 400413316323282. Its totient is φ = 400413316323280.

The previous prime is 400413316323239. The next prime is 400413316323283. The reversal of 400413316323281 is 182323613314004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400367484364225 + 45831959056 = 20009185^2 + 214084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400413316323281 is a prime.

It is a super-2 number, since 2×400413316323281² (a number of 30 digits) contains 22 as substring.

Together with 400413316323283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400413316323283) 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, 200206658161640 + 200206658161641.

It is an arithmetic number, because the mean of its divisors is an integer number (200206658161641).

Almost surely, 2^{400413316323281} is an apocalyptic number.

It is an amenable number.

400413316323281 is a deficient number, since it is larger than the sum of its proper divisors (1).

400413316323281 is an equidigital number, since it uses as much as digits as its factorization.

400413316323281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 41.

Adding to 400413316323281 its reverse (182323613314004), we get a palindrome (582736929637285).

The spelling of 400413316323281 in words is "four hundred trillion, four hundred thirteen billion, three hundred sixteen million, three hundred twenty-three thousand, two hundred eighty-one".