4220414220 has 192 divisors, whose sum is σ = 13695091200. Its totient is φ = 959754240.

The previous prime is 4220414201. The next prime is 4220414227. The reversal of 4220414220 is 224140224.

It is not an unprimeable number, because it can be changed into a prime (4220414227) 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 63 ways as a sum of consecutive naturals, for example, 5710611 + ... + 5711349.

It is an arithmetic number, because the mean of its divisors is an integer number (71328600).

Almost surely, 2^4220414220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847545600).

4220414220 is an abundant number, since it is smaller than the sum of its proper divisors (9474676980).

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

4220414220 is a wasteful number, since it uses less digits than its factorization.

4220414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4220414220 is about 64964.7151921718. The cubic root of 4220414220 is about 1616.0384608980.

Adding to 4220414220 its reverse (224140224), we get a palindrome (4444554444).

The spelling of 4220414220 in words is "four billion, two hundred twenty million, four hundred fourteen thousand, two hundred twenty".