4004110104 has 128 divisors (see below), whose sum is σ = 10574530560. Its totient is φ = 1261951488.

The previous prime is 4004110081. The next prime is 4004110111. The reversal of 4004110104 is 4010114004.

It is a super-3 number, since 3×4004110104³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8221749 + ... + 8222235.

It is an arithmetic number, because the mean of its divisors is an integer number (82613520).

Almost surely, 2^4004110104 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 4004110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287265280).

4004110104 is an abundant number, since it is smaller than the sum of its proper divisors (6570420456).

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

4004110104 is a wasteful number, since it uses less digits than its factorization.

4004110104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4004110104 is about 63278.0380858952. The cubic root of 4004110104 is about 1587.9445644707.

Adding to 4004110104 its reverse (4010114004), we get a palindrome (8014224108).

The spelling of 4004110104 in words is "four billion, four million, one hundred ten thousand, one hundred four".