4004004224 has 96 divisors (see below), whose sum is σ = 8802977400. Its totient is φ = 1812715520.

The previous prime is 4004004187. The next prime is 4004004233. The reversal of 4004004224 is 4224004004.

It is a junction number, because it is equal to n+sod(n) for n = 4004004196 and 4004004205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6489164 + ... + 6489780.

Almost surely, 2^4004004224 is an apocalyptic number.

4004004224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401488700).

4004004224 is an abundant number, since it is smaller than the sum of its proper divisors (4798973176).

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

4004004224 is a wasteful number, since it uses less digits than its factorization.

4004004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1049 counting only the distinct ones).

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

The square root of 4004004224 is about 63277.2014551845. The cubic root of 4004004224 is about 1587.9305677650.

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

The spelling of 4004004224 in words is "four billion, four million, four thousand, two hundred twenty-four".