4005255200 has 72 divisors (see below), whose sum is σ = 9802536660. Its totient is φ = 1598054400.

The previous prime is 4005255197. The next prime is 4005255229. The reversal of 4005255200 is 25525004.

4005255200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1899913744 + 2105341456 = 43588^2 + 45884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321080 + ... + 333320.

Almost surely, 2^4005255200 is an apocalyptic number.

4005255200 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 4005255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901268330).

4005255200 is an abundant number, since it is smaller than the sum of its proper divisors (5797281460).

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

4005255200 is a wasteful number, since it uses less digits than its factorization.

4005255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 4005255200 is about 63287.0855704385. The cubic root of 4005255200 is about 1588.0959235836.

The spelling of 4005255200 in words is "four billion, five million, two hundred fifty-five thousand, two hundred".