4004404224 has 44 divisors (see below), whose sum is σ = 10673205384. Its totient is φ = 1334800384.

The previous prime is 4004404207. The next prime is 4004404249. The reversal of 4004404224 is 4224044004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4004404194 and 4004404203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 648687 + ... + 654830.

Almost surely, 2^4004404224 is an apocalyptic number.

It is an amenable number.

4004404224 is an abundant number, since it is smaller than the sum of its proper divisors (6668801160).

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

4004404224 is a wasteful number, since it uses less digits than its factorization.

4004404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303540 (or 1303522 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4004404224 is about 63280.3620722891. The cubic root of 4004404224 is about 1587.9834440892.

Adding to 4004404224 its reverse (4224044004), we get a palindrome (8228448228).

The spelling of 4004404224 in words is "four billion, four million, four hundred four thousand, two hundred twenty-four".