4004442104 has 64 divisors (see below), whose sum is σ = 8175552000. Its totient is φ = 1827826560.

The previous prime is 4004442077. The next prime is 4004442107. The reversal of 4004442104 is 4012444004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004442104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004442107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6345869 + ... + 6346499.

It is an arithmetic number, because the mean of its divisors is an integer number (127743000).

Almost surely, 2^4004442104 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 4004442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087776000).

4004442104 is an abundant number, since it is smaller than the sum of its proper divisors (4171109896).

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

4004442104 is a wasteful number, since it uses less digits than its factorization.

4004442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4004442104 is about 63280.6613745463. The cubic root of 4004442104 is about 1587.9884512946.

Adding to 4004442104 its reverse (4012444004), we get a palindrome (8016886108).

The spelling of 4004442104 in words is "four billion, four million, four hundred forty-two thousand, one hundred four".