10400410201 has 16 divisors (see below), whose sum is σ = 10864224000. Its totient is φ = 9949875408.

The previous prime is 10400410187. The next prime is 10400410213. The reversal of 10400410201 is 10201400401.

It is a cyclic number.

It is not a de Polignac number, because 10400410201 - 2²⁵ = 10366855769 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312250 + ... + 343948.

It is an arithmetic number, because the mean of its divisors is an integer number (679014000).

Almost surely, 2^10400410201 is an apocalyptic number.

It is an amenable number.

10400410201 is a deficient number, since it is larger than the sum of its proper divisors (463813799).

10400410201 is an equidigital number, since it uses as much as digits as its factorization.

10400410201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31908.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10400410201 its reverse (10201400401), we get a palindrome (20601810602).

The spelling of 10400410201 in words is "ten billion, four hundred million, four hundred ten thousand, two hundred one".