4404004000 has 192 divisors, whose sum is σ = 11933236224. Its totient is φ = 1584000000.

The previous prime is 4404003997. The next prime is 4404004013. The reversal of 4404004000 is 4004044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4443505 + ... + 4444495.

It is an arithmetic number, because the mean of its divisors is an integer number (62152272).

Almost surely, 2^4404004000 is an apocalyptic number.

4404004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966618112).

4404004000 is an abundant number, since it is smaller than the sum of its proper divisors (7529232224).

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

4404004000 is a wasteful number, since it uses less digits than its factorization.

4404004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4404004000 is about 66362.6702295801. The cubic root of 4404004000 is about 1639.1394454083.

Adding to 4404004000 its reverse (4004044), we get a palindrome (4408008044).

The spelling of 4404004000 in words is "four billion, four hundred four million, four thousand".