10406274417 has 32 divisors (see below), whose sum is σ = 19220828160. Its totient is φ = 5405855760.

The previous prime is 10406274397. The next prime is 10406274419. The reversal of 10406274417 is 71447260401.

It is a happy number.

10406274417 is a `hidden beast` number, since 10 + 4 + 0 + 627 + 4 + 4 + 17 = 666.

It is not a de Polignac number, because 10406274417 - 2³⁰ = 9332532593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10406274419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500633 + ... + 2504790.

It is an arithmetic number, because the mean of its divisors is an integer number (600650880).

Almost surely, 2^10406274417 is an apocalyptic number.

It is an amenable number.

10406274417 is a deficient number, since it is larger than the sum of its proper divisors (8814553743).

10406274417 is a wasteful number, since it uses less digits than its factorization.

10406274417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005450 (or 5005444 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10406274417 in words is "ten billion, four hundred six million, two hundred seventy-four thousand, four hundred seventeen".