4004405000 has 80 divisors (see below), whose sum is σ = 9403302480. Its totient is φ = 1598184000.

The previous prime is 4004404993. The next prime is 4004405011. The reversal of 4004405000 is 5044004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004405000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4414547 + ... + 4415453.

It is an arithmetic number, because the mean of its divisors is an integer number (117541281).

Almost surely, 2^4004405000 is an apocalyptic number.

4004405000 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 4004405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701651240).

4004405000 is an abundant number, since it is smaller than the sum of its proper divisors (5398897480).

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

4004405000 is an equidigital number, since it uses as much as digits as its factorization.

4004405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4004405000 is about 63280.3682037328. The cubic root of 4004405000 is about 1587.9835466659.

Adding to 4004405000 its reverse (5044004), we get a palindrome (4009449004).

The spelling of 4004405000 in words is "four billion, four million, four hundred five thousand".