4005122409 has 8 divisors (see below), whose sum is σ = 5933514720. Its totient is φ = 2670081588.

The previous prime is 4005122353. The next prime is 4005122417. The reversal of 4005122409 is 9042215004.

4005122409 is a `hidden beast` number, since 400 + 5 + 12 + 240 + 9 = 666.

It is not a de Polignac number, because 4005122409 - 2⁸ = 4005122153 is a prime.

It is a super-2 number, since 2×4005122409² = 32082011022147926562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 148337867 = 4005122409 / (4 + 0 + 0 + 5 + 1 + 2 + 2 + 4 + 0 + 9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4005122479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74168907 + ... + 74168960.

It is an arithmetic number, because the mean of its divisors is an integer number (741689340).

Almost surely, 2^4005122409 is an apocalyptic number.

It is an amenable number.

4005122409 is a deficient number, since it is larger than the sum of its proper divisors (1928392311).

4005122409 is a wasteful number, since it uses less digits than its factorization.

4005122409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148337876 (or 148337870 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4005122409 is about 63286.0364456489. The cubic root of 4005122409 is about 1588.0783727105.

The spelling of 4005122409 in words is "four billion, five million, one hundred twenty-two thousand, four hundred nine".