4224004004 has 72 divisors (see below), whose sum is σ = 8505913920. Its totient is φ = 1830565440.

The previous prime is 4224003989. The next prime is 4224004007. The reversal of 4224004004 is 4004004224.

It is not an unprimeable number, because it can be changed into a prime (4224004007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6823607 + ... + 6824225.

Almost surely, 2^4224004004 is an apocalyptic number.

4224004004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4224004004 is an abundant number, since it is smaller than the sum of its proper divisors (4281909916).

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

4224004004 is a wasteful number, since it uses less digits than its factorization.

4224004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4224004004 is about 64992.3380407260. The cubic root of 4224004004 is about 1616.4965190166.

Adding to 4224004004 its reverse (4004004224), we get a palindrome (8228008228).

The spelling of 4224004004 in words is "four billion, two hundred twenty-four million, four thousand, four".