4118400009 has 12 divisors (see below), whose sum is σ = 5949479796. Its totient is φ = 2745286272.

The previous prime is 4118400007. The next prime is 4118400017. The reversal of 4118400009 is 9000048114.

It can be written as a sum of positive squares in 2 ways, for example, as 354945600 + 3763454409 = 18840^2 + 61347^2 .

It is not a de Polignac number, because 4118400009 - 2¹ = 4118400007 is a prime.

It is a super-2 number, since 2×4118400009² = 33922437268262400162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4118400007) 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, 79429 + ... + 120605.

It is an arithmetic number, because the mean of its divisors is an integer number (495789983).

Almost surely, 2^4118400009 is an apocalyptic number.

It is an amenable number.

4118400009 is a deficient number, since it is larger than the sum of its proper divisors (1831079787).

4118400009 is a wasteful number, since it uses less digits than its factorization.

4118400009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52296 (or 52293 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4118400009 is about 64174.7614643015. The cubic root of 4118400009 is about 1602.9113670889.

The spelling of 4118400009 in words is "four billion, one hundred eighteen million, four hundred thousand, nine".