4005204000 has 192 divisors, whose sum is σ = 14995798272. Its totient is φ = 915456000.

The previous prime is 4005203989. The next prime is 4005204001. The reversal of 4005204000 is 4025004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4005204001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60160 + ... + 107840.

It is an arithmetic number, because the mean of its divisors is an integer number (78103116).

Almost surely, 2^4005204000 is an apocalyptic number.

4005204000 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 4005204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497899136).

4005204000 is an abundant number, since it is smaller than the sum of its proper divisors (10990594272).

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

4005204000 is a wasteful number, since it uses less digits than its factorization.

4005204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47716 (or 47698 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4005204000 is about 63286.6810632379. The cubic root of 4005204000 is about 1588.0891565693.

Adding to 4005204000 its reverse (4025004), we get a palindrome (4009229004).

The spelling of 4005204000 in words is "four billion, five million, two hundred four thousand".