4004224020 has 144 divisors (see below), whose sum is σ = 12430978560. Its totient is φ = 1043048448.

The previous prime is 4004224001. The next prime is 4004224057. The reversal of 4004224020 is 204224004.

4004224020 is a `hidden beast` number, since 400 + 4 + 2 + 240 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4004223984 and 4004224002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377889 + ... + 1380791.

It is an arithmetic number, because the mean of its divisors is an integer number (86326240).

Almost surely, 2^4004224020 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 4004224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215489280).

4004224020 is an abundant number, since it is smaller than the sum of its proper divisors (8426754540).

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

4004224020 is a wasteful number, since it uses less digits than its factorization.

4004224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4004224020 is about 63278.9382022170. The cubic root of 4004224020 is about 1587.9596232123.

Adding to 4004224020 its reverse (204224004), we get a palindrome (4208448024).

The spelling of 4004224020 in words is "four billion, four million, two hundred twenty-four thousand, twenty".