10400024033129 has 2 divisors, whose sum is σ = 10400024033130. Its totient is φ = 10400024033128.

The previous prime is 10400024033093. The next prime is 10400024033213. The reversal of 10400024033129 is 92133042000401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9550819393600 + 849204639529 = 3090440^2 + 921523^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400024033129 - 2²⁰ = 10400022984553 is a prime.

It is not a weakly prime, because it can be changed into another prime (10400024033029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200012016564 + 5200012016565.

It is an arithmetic number, because the mean of its divisors is an integer number (5200012016565).

Almost surely, 2^{10400024033129} is an apocalyptic number.

It is an amenable number.

10400024033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400024033129 is an equidigital number, since it uses as much as digits as its factorization.

10400024033129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 10400024033129 in words is "ten trillion, four hundred billion, twenty-four million, thirty-three thousand, one hundred twenty-nine".