10400410241 has 12 divisors (see below), whose sum is σ = 11264854140. Its totient is φ = 9597931200.

The previous prime is 10400410219. The next prime is 10400410283. The reversal of 10400410241 is 14201400401.

10400410241 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 6 ways, for example, as 631064641 + 9769345600 = 25121^2 + 98840^2 .

It is not a de Polignac number, because 10400410241 - 2⁶ = 10400410177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400410291) 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 11 ways as a sum of consecutive naturals, for example, 1312391 + ... + 1320291.

It is an arithmetic number, because the mean of its divisors is an integer number (938737845).

Almost surely, 2^10400410241 is an apocalyptic number.

It is an amenable number.

10400410241 is a deficient number, since it is larger than the sum of its proper divisors (864443899).

10400410241 is an equidigital number, since it uses as much as digits as its factorization.

10400410241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15716 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10400410241 its reverse (14201400401), we get a palindrome (24601810642).

The spelling of 10400410241 in words is "ten billion, four hundred million, four hundred ten thousand, two hundred forty-one".