10040240401 has 9 divisors (see below), whose sum is σ = 10154645361. Its totient is φ = 9927113472.

The previous prime is 10040240389. The next prime is 10040240411. The reversal of 10040240401 is 10404204001.

The square root of 10040240401 is 100201.

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 2719726801 + 7320513600 = 52151^2 + 85560^2 .

It is not a de Polignac number, because 10040240401 - 2⁵ = 10040240369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10040240411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9718981 + ... + 9720013.

It is an arithmetic number, because the mean of its divisors is an integer number (1128293929).

Almost surely, 2^10040240401 is an apocalyptic number.

10040240401 is the 100201-st square number.

10040240401 is the 50101-st centered octagonal number.

It is an amenable number.

10040240401 is a deficient number, since it is larger than the sum of its proper divisors (114404960).

10040240401 is an frugal number, since it uses more digits than its factorization.

10040240401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 10040240401 by its sum of digits (16), we get a square (160643846416 = 400804²).

Adding to 10040240401 its reverse (10404204001), we get a palindrome (20444444402).

The spelling of 10040240401 in words is "ten billion, forty million, two hundred forty thousand, four hundred one".