10640352401 has 6 divisors (see below), whose sum is σ = 12377552850. Its totient is φ = 9120302016.

The previous prime is 10640352383. The next prime is 10640352413. The reversal of 10640352401 is 10425304601.

10640352401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6340140625 + 4300211776 = 79625^2 + 65576^2 .

It is not a de Polignac number, because 10640352401 - 2¹⁰ = 10640351377 is a prime.

It is a super-2 number, since 2×10640352401² (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 (10640352421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108574976 + ... + 108575073.

It is an arithmetic number, because the mean of its divisors is an integer number (2062925475).

Almost surely, 2^10640352401 is an apocalyptic number.

It is an amenable number.

10640352401 is a deficient number, since it is larger than the sum of its proper divisors (1737200449).

10640352401 is an equidigital number, since it uses as much as digits as its factorization.

10640352401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217150063 (or 217150056 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10640352401 in words is "ten billion, six hundred forty million, three hundred fifty-two thousand, four hundred one".