10128724128409 has 2 divisors, whose sum is σ = 10128724128410. Its totient is φ = 10128724128408.

The previous prime is 10128724128401. The next prime is 10128724128427. The reversal of 10128724128409 is 90482142782101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8995410585225 + 1133313543184 = 2999235^2 + 1064572^2 .

It is a cyclic number.

It is not a de Polignac number, because 10128724128409 - 2³ = 10128724128401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10128724128401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5064362064204 + 5064362064205.

It is an arithmetic number, because the mean of its divisors is an integer number (5064362064205).

Almost surely, 2^{10128724128409} is an apocalyptic number.

It is an amenable number.

10128724128409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10128724128409 is an equidigital number, since it uses as much as digits as its factorization.

10128724128409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 10128724128409 in words is "ten trillion, one hundred twenty-eight billion, seven hundred twenty-four million, one hundred twenty-eight thousand, four hundred nine".