4224434004 has 144 divisors (see below), whose sum is σ = 12613456128. Its totient is φ = 1166897664.

The previous prime is 4224434003. The next prime is 4224434017. The reversal of 4224434004 is 4004344224.

It is a happy number.

4224434004 is a `hidden beast` number, since 4 + 224 + 434 + 0 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224434003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1555752 + ... + 1558464.

Almost surely, 2^4224434004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306728064).

4224434004 is an abundant number, since it is smaller than the sum of its proper divisors (8389022124).

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

4224434004 is a wasteful number, since it uses less digits than its factorization.

4224434004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4224434004 is about 64995.6460387925. The cubic root of 4224434004 is about 1616.5513698103.

Adding to 4224434004 its reverse (4004344224), we get a palindrome (8228778228).

The spelling of 4224434004 in words is "four billion, two hundred twenty-four million, four hundred thirty-four thousand, four".