10400417917 has 2 divisors, whose sum is σ = 10400417918. Its totient is φ = 10400417916.

The previous prime is 10400417899. The next prime is 10400417921. The reversal of 10400417917 is 71971400401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10325404996 + 75012921 = 101614^2 + 8661^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400417917 - 2¹¹ = 10400415869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400417957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200208958 + 5200208959.

It is an arithmetic number, because the mean of its divisors is an integer number (5200208959).

Almost surely, 2^10400417917 is an apocalyptic number.

It is an amenable number.

10400417917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400417917 is an equidigital number, since it uses as much as digits as its factorization.

10400417917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 10400417917 in words is "ten billion, four hundred million, four hundred seventeen thousand, nine hundred seventeen".