400314054255337 has 2 divisors, whose sum is σ = 400314054255338. Its totient is φ = 400314054255336.

The previous prime is 400314054255317. The next prime is 400314054255391. The reversal of 400314054255337 is 733552450413004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 337278330489321 + 63035723766016 = 18365139^2 + 7939504^2 .

It is a cyclic number.

It is not a de Polignac number, because 400314054255337 - 2³⁵ = 400279694516969 is a prime.

It is not a weakly prime, because it can be changed into another prime (400314054255307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200157027127668 + 200157027127669.

It is an arithmetic number, because the mean of its divisors is an integer number (200157027127669).

Almost surely, 2^{400314054255337} is an apocalyptic number.

It is an amenable number.

400314054255337 is a deficient number, since it is larger than the sum of its proper divisors (1).

400314054255337 is an equidigital number, since it uses as much as digits as its factorization.

400314054255337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024000, while the sum is 46.

The spelling of 400314054255337 in words is "four hundred trillion, three hundred fourteen billion, fifty-four million, two hundred fifty-five thousand, three hundred thirty-seven".