4005200000 has 384 divisors, whose sum is σ = 11474265600. Its totient is φ = 1382400000.

The previous prime is 4005199997. The next prime is 4005200021. The reversal of 4005200000 is 25004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129199985 + ... + 129200015.

It is an arithmetic number, because the mean of its divisors is an integer number (29880900).

Almost surely, 2^4005200000 is an apocalyptic number.

4005200000 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 4005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737132800).

4005200000 is an abundant number, since it is smaller than the sum of its proper divisors (7469065600).

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

4005200000 is an equidigital number, since it uses as much as digits as its factorization.

4005200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4005200000 is about 63286.6494610040. The cubic root of 4005200000 is about 1588.0886278938.

Adding to 4005200000 its reverse (25004), we get a palindrome (4005225004).

The spelling of 4005200000 in words is "four billion, five million, two hundred thousand".