10400074567681 has 2 divisors, whose sum is σ = 10400074567682. Its totient is φ = 10400074567680.

The previous prime is 10400074567607. The next prime is 10400074567709. The reversal of 10400074567681 is 18676547000401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8010626393025 + 2389448174656 = 2830305^2 + 1545784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400074567681 is a prime.

It is a super-2 number, since 2×10400074567681² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10400074567601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200037283840 + 5200037283841.

It is an arithmetic number, because the mean of its divisors is an integer number (5200037283841).

Almost surely, 2^{10400074567681} is an apocalyptic number.

It is an amenable number.

10400074567681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400074567681 is an equidigital number, since it uses as much as digits as its factorization.

10400074567681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 10400074567681 in words is "ten trillion, four hundred billion, seventy-four million, five hundred sixty-seven thousand, six hundred eighty-one".