10128724128411 has 64 divisors (see below), whose sum is σ = 15699284075520. Its totient is φ = 5689338969600.

The previous prime is 10128724128409. The next prime is 10128724128427. The reversal of 10128724128411 is 11482142782101.

It is a happy number.

It is not a de Polignac number, because 10128724128411 - 2¹ = 10128724128409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10128724128401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425225260 + ... + 425249078.

It is an arithmetic number, because the mean of its divisors is an integer number (245301313680).

Almost surely, 2^{10128724128411} is an apocalyptic number.

10128724128411 is a deficient number, since it is larger than the sum of its proper divisors (5570559947109).

10128724128411 is a wasteful number, since it uses less digits than its factorization.

10128724128411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25364.

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 10128724128411 in words is "ten trillion, one hundred twenty-eight billion, seven hundred twenty-four million, one hundred twenty-eight thousand, four hundred eleven".