4084004408844 has 48 divisors (see below), whose sum is σ = 9868094853120. Its totient is φ = 1313038466880.

The previous prime is 4084004408819. The next prime is 4084004408867. The reversal of 4084004408844 is 4488044004804.

4084004408844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4084004408844² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4084004408793 and 4084004408802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5705164 + ... + 6380979.

It is an arithmetic number, because the mean of its divisors is an integer number (205585309440).

Almost surely, 2^{4084004408844} is an apocalyptic number.

It is an amenable number.

4084004408844 is an abundant number, since it is smaller than the sum of its proper divisors (5784090444276).

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

4084004408844 is a wasteful number, since it uses less digits than its factorization.

4084004408844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087150 (or 12087148 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4084004408844 in words is "four trillion, eighty-four billion, four million, four hundred eight thousand, eight hundred forty-four".