10400000000017 has 2 divisors, whose sum is σ = 10400000000018. Its totient is φ = 10400000000016.

The previous prime is 10400000000009. The next prime is 10400000000021. The reversal of 10400000000017 is 71000000000401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7467151946881 + 2932848053136 = 2732609^2 + 1712556^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400000000017 - 2³ = 10400000000009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10399999999925 and 10400000000006.

It is not a weakly prime, because it can be changed into another prime (10400000000057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200000000008 + 5200000000009.

It is an arithmetic number, because the mean of its divisors is an integer number (5200000000009).

Almost surely, 2^{10400000000017} is an apocalyptic number.

It is an amenable number.

10400000000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400000000017 is an equidigital number, since it uses as much as digits as its factorization.

10400000000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 13.

Adding to 10400000000017 its reverse (71000000000401), we get a palindrome (81400000000418).

The spelling of 10400000000017 in words is "ten trillion, four hundred billion, seventeen", and thus it is an aban number.