4222771200 has 504 divisors, whose sum is σ = 15845637600. Its totient is φ = 1073479680.

The previous prime is 4222771169. The next prime is 4222771243. The reversal of 4222771200 is 21772224.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 53452761 + ... + 53452839.

Almost surely, 2^4222771200 is an apocalyptic number.

4222771200 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 4222771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922818800).

4222771200 is an abundant number, since it is smaller than the sum of its proper divisors (11622866400).

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

4222771200 is a wasteful number, since it uses less digits than its factorization.

4222771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4222771200 is about 64982.8531229585. The cubic root of 4222771200 is about 1616.3392419182.

The spelling of 4222771200 in words is "four billion, two hundred twenty-two million, seven hundred seventy-one thousand, two hundred".