10400511467713 has 2 divisors, whose sum is σ = 10400511467714. Its totient is φ = 10400511467712.

The previous prime is 10400511467707. The next prime is 10400511467747. The reversal of 10400511467713 is 31776411500401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9069053951169 + 1331457516544 = 3011487^2 + 1153888^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400511467713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10400511468713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200255733856 + 5200255733857.

It is an arithmetic number, because the mean of its divisors is an integer number (5200255733857).

Almost surely, 2^{10400511467713} is an apocalyptic number.

It is an amenable number.

10400511467713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400511467713 is an equidigital number, since it uses as much as digits as its factorization.

10400511467713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 10400511467713 in words is "ten trillion, four hundred billion, five hundred eleven million, four hundred sixty-seven thousand, seven hundred thirteen".