10411222401 has 48 divisors (see below), whose sum is σ = 15702757200. Its totient is φ = 6639058944.

The previous prime is 10411222391. The next prime is 10411222417. The reversal of 10411222401 is 10422211401.

10411222401 is a `hidden beast` number, since 1 + 0 + 41 + 1 + 222 + 401 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1813482225 + 8597740176 = 42585^2 + 92724^2 .

It is not a de Polignac number, because 10411222401 - 2¹¹ = 10411220353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10411222421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18043425 + ... + 18044001.

It is an arithmetic number, because the mean of its divisors is an integer number (327140775).

Almost surely, 2^10411222401 is an apocalyptic number.

It is an amenable number.

10411222401 is a deficient number, since it is larger than the sum of its proper divisors (5291534799).

10411222401 is a wasteful number, since it uses less digits than its factorization.

10411222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10411222401 its reverse (10422211401), we get a palindrome (20833433802).

The spelling of 10411222401 in words is "ten billion, four hundred eleven million, two hundred twenty-two thousand, four hundred one".