4022525200 has 120 divisors (see below), whose sum is σ = 10115870400. Its totient is φ = 1534241280.

The previous prime is 4022525183. The next prime is 4022525203. The reversal of 4022525200 is 25252204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4022525203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4682371 + ... + 4683229.

It is an arithmetic number, because the mean of its divisors is an integer number (84298920).

Almost surely, 2^4022525200 is an apocalyptic number.

4022525200 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 4022525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057935200).

4022525200 is an abundant number, since it is smaller than the sum of its proper divisors (6093345200).

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

4022525200 is a wasteful number, since it uses less digits than its factorization.

4022525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 4022525200 is about 63423.3805469245. The cubic root of 4022525200 is about 1590.3751867012.

Adding to 4022525200 its reverse (25252204), we get a palindrome (4047777404).

The spelling of 4022525200 in words is "four billion, twenty-two million, five hundred twenty-five thousand, two hundred".