4004042004 has 96 divisors (see below), whose sum is σ = 10632384000. Its totient is φ = 1302732288.

The previous prime is 4004041997. The next prime is 4004042023. The reversal of 4004042004 is 4002404004.

It is a happy number.

4004042004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756712 + ... + 761984.

It is an arithmetic number, because the mean of its divisors is an integer number (110754000).

Almost surely, 2^4004042004 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 4004042004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316192000).

4004042004 is an abundant number, since it is smaller than the sum of its proper divisors (6628341996).

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

4004042004 is a wasteful number, since it uses less digits than its factorization.

4004042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5446 counting only the distinct ones).

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

The square root of 4004042004 is about 63277.4999822212. The cubic root of 4004042004 is about 1587.9355620844.

4004042004 divided by its sum of digits (18) gives a triangular number (222446778 = T₂₁₀₉₂).

Adding to 4004042004 its reverse (4002404004), we get a palindrome (8006446008).

It can be divided in two parts, 400 and 4042004, that added together give a palindrome (4042404).

The spelling of 4004042004 in words is "four billion, four million, forty-two thousand, four", and thus it is an eban number.