4004404020 has 96 divisors (see below), whose sum is σ = 12490195200. Its totient is φ = 1065094272.

The previous prime is 4004404007. The next prime is 4004404021. The reversal of 4004404020 is 204044004.

It is a happy number.

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 = 4004403984 and 4004404002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004404021) 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 31 ways as a sum of consecutive naturals, for example, 205041 + ... + 223719.

It is an arithmetic number, because the mean of its divisors is an integer number (130106200).

Almost surely, 2^4004404020 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 4004404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245097600).

4004404020 is an abundant number, since it is smaller than the sum of its proper divisors (8485791180).

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

4004404020 is a wasteful number, since it uses less digits than its factorization.

4004404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094 (or 19086 counting only the distinct ones).

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

The square root of 4004404020 is about 63280.3604604146. The cubic root of 4004404020 is about 1587.9834171232.

Adding to 4004404020 its reverse (204044004), we get a palindrome (4208448024).

The spelling of 4004404020 in words is "four billion, four million, four hundred four thousand, twenty".