10442410400129 has 2 divisors, whose sum is σ = 10442410400130. Its totient is φ = 10442410400128.

The previous prime is 10442410400111. The next prime is 10442410400143. The reversal of 10442410400129 is 92100401424401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7540406160400 + 2902004239729 = 2745980^2 + 1703527^2 .

It is an emirp because it is prime and its reverse (92100401424401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10442410400129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10442410400095 and 10442410400104.

It is not a weakly prime, because it can be changed into another prime (10442410400189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5221205200064 + 5221205200065.

It is an arithmetic number, because the mean of its divisors is an integer number (5221205200065).

Almost surely, 2^{10442410400129} is an apocalyptic number.

It is an amenable number.

10442410400129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10442410400129 is an equidigital number, since it uses as much as digits as its factorization.

10442410400129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 10442410400129 in words is "ten trillion, four hundred forty-two billion, four hundred ten million, four hundred thousand, one hundred twenty-nine".