10240633609801 has 27 divisors (see below), whose sum is σ = 12310081134957. Its totient is φ = 8493958773720.

The previous prime is 10240633609777. The next prime is 10240633609813. The reversal of 10240633609801 is 10890633604201.

The square root of 10240633609801 is 3200099.

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

It is not a de Polignac number, because 10240633609801 - 2⁵ = 10240633609769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10240633609861) 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, 694414110 + ... + 694428856.

Almost surely, 2^{10240633609801} is an apocalyptic number.

10240633609801 is the 3200099-th square number.

10240633609801 is the 1600050-th centered octagonal number.

It is an amenable number.

10240633609801 is a deficient number, since it is larger than the sum of its proper divisors (2069447525156).

10240633609801 is an frugal number, since it uses more digits than its factorization.

10240633609801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29570 (or 14785 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 10240633609801 in words is "ten trillion, two hundred forty billion, six hundred thirty-three million, six hundred nine thousand, eight hundred one".