4004404004328 has 128 divisors (see below), whose sum is σ = 12330751614720. Its totient is φ = 1055291535360.

The previous prime is 4004404004327. The next prime is 4004404004347. The reversal of 4004404004328 is 8234004044004.

It is not an unprimeable number, because it can be changed into a prime (4004404004327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125818 + ... + 3539478.

It is an arithmetic number, because the mean of its divisors is an integer number (96333996990).

Almost surely, 2^{4004404004328} 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 4004404004328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165375807360).

4004404004328 is an abundant number, since it is smaller than the sum of its proper divisors (8326347610392).

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

4004404004328 is a wasteful number, since it uses less digits than its factorization.

4004404004328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414987 (or 1414983 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 4004404004328 in words is "four trillion, four billion, four hundred four million, four thousand, three hundred twenty-eight".