4004008844 has 24 divisors (see below), whose sum is σ = 8093666448. Its totient is φ = 1712944640.

The previous prime is 4004008831. The next prime is 4004008849. The reversal of 4004008844 is 4488004004.

It is a happy number.

4004008844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4004008844.

It is not an unprimeable number, because it can be changed into a prime (4004008849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2675729 + ... + 2677224.

It is an arithmetic number, because the mean of its divisors is an integer number (337236102).

Almost surely, 2^4004008844 is an apocalyptic number.

4004008844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004008844 is an abundant number, since it is smaller than the sum of its proper divisors (4089657604).

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

4004008844 is a wasteful number, since it uses less digits than its factorization.

4004008844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352985 (or 5352983 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4004008844 is about 63277.2379612132. The cubic root of 4004008844 is about 1587.9311785066.

The spelling of 4004008844 in words is "four billion, four million, eight thousand, eight hundred forty-four".