4564221120 has 168 divisors, whose sum is σ = 15965698320. Its totient is φ = 1196451840.

The previous prime is 4564221119. The next prime is 4564221169. The reversal of 4564221120 is 211224654.

4564221120 is a `hidden beast` number, since 4 + 5 + 642 + 2 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×4564221120² = 41664228864508108800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156490 + ... + 183350.

Almost surely, 2^4564221120 is an apocalyptic number.

4564221120 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 4564221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982849160).

4564221120 is an abundant number, since it is smaller than the sum of its proper divisors (11401477200).

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

4564221120 is a wasteful number, since it uses less digits than its factorization.

4564221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26943 (or 26930 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4564221120 is about 67559.0195310737. The cubic root of 4564221120 is about 1658.7803883365.

Adding to 4564221120 its reverse (211224654), we get a palindrome (4775445774).

The spelling of 4564221120 in words is "four billion, five hundred sixty-four million, two hundred twenty-one thousand, one hundred twenty".