4005104000 has 128 divisors (see below), whose sum is σ = 10147718880. Its totient is φ = 1571481600.

The previous prime is 4005103997. The next prime is 4005104017. The reversal of 4005104000 is 4015004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 845639 + ... + 850361.

Almost surely, 2^4005104000 is an apocalyptic number.

4005104000 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 4005104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073859440).

4005104000 is an abundant number, since it is smaller than the sum of its proper divisors (6142614880).

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

4005104000 is an equidigital number, since it uses as much as digits as its factorization.

4005104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4005104000 is about 63285.8910026556. The cubic root of 4005104000 is about 1588.0759395781.

Adding to 4005104000 its reverse (4015004), we get a palindrome (4009119004).

The spelling of 4005104000 in words is "four billion, five million, one hundred four thousand".