10400338808953 has 2 divisors, whose sum is σ = 10400338808954. Its totient is φ = 10400338808952.

The previous prime is 10400338808927. The next prime is 10400338809011. The reversal of 10400338808953 is 35980883300401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8370762473529 + 2029576335424 = 2893227^2 + 1424632^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400338808953 - 2⁵ = 10400338808921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10400338808953.

It is not a weakly prime, because it can be changed into another prime (10400338800953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200169404476 + 5200169404477.

It is an arithmetic number, because the mean of its divisors is an integer number (5200169404477).

Almost surely, 2^{10400338808953} is an apocalyptic number.

It is an amenable number.

10400338808953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400338808953 is an equidigital number, since it uses as much as digits as its factorization.

10400338808953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 10400338808953 in words is "ten trillion, four hundred billion, three hundred thirty-eight million, eight hundred eight thousand, nine hundred fifty-three".