10640128801 has 27 divisors (see below), whose sum is σ = 11546438553. Its totient is φ = 9803471040.

The previous prime is 10640128789. The next prime is 10640128843. The reversal of 10640128801 is 10882104601.

The square root of 10640128801 is 103151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6897136401 + 3742992400 = 83049^2 + 61180^2 .

It is not a de Polignac number, because 10640128801 - 2⁵ = 10640128769 is a prime.

It is a super-2 number, since 2×10640128801² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10640128001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119551965 + ... + 119552053.

Almost surely, 2^10640128801 is an apocalyptic number.

10640128801 is the 103151-st square number.

10640128801 is the 51576-th centered octagonal number.

It is an amenable number.

10640128801 is a deficient number, since it is larger than the sum of its proper divisors (906309752).

10640128801 is an frugal number, since it uses more digits than its factorization.

10640128801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The spelling of 10640128801 in words is "ten billion, six hundred forty million, one hundred twenty-eight thousand, eight hundred one".