4004224218 has 48 divisors (see below), whose sum is σ = 8819913960. Its totient is φ = 1312754688.

The previous prime is 4004224201. The next prime is 4004224219. The reversal of 4004224218 is 8124224004.

4004224218 is a `hidden beast` number, since 400 + 4 + 2 + 242 + 18 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4003472529 + 751689 = 63273^2 + 867^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004224191 and 4004224200.

It is not an unprimeable number, because it can be changed into a prime (4004224219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261346 + ... + 276242.

Almost surely, 2^4004224218 is an apocalyptic number.

4004224218 is an abundant number, since it is smaller than the sum of its proper divisors (4815689742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004224218 is a wasteful number, since it uses less digits than its factorization.

4004224218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15151 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4004224218 is about 63278.9397667186. The cubic root of 4004224218 is about 1587.9596493860.

The spelling of 4004224218 in words is "four billion, four million, two hundred twenty-four thousand, two hundred eighteen".