4002221120 has 28 divisors (see below), whose sum is σ = 9530289804. Its totient is φ = 1600888320.

The previous prime is 4002221089. The next prime is 4002221129. The reversal of 4002221120 is 211222004.

It can be written as a sum of positive squares in 2 ways, for example, as 2379098176 + 1623122944 = 48776^2 + 40288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4002221095 and 4002221104.

It is not an unprimeable number, because it can be changed into a prime (4002221129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6253151 + ... + 6253790.

It is an arithmetic number, because the mean of its divisors is an integer number (340367493).

Almost surely, 2^4002221120 is an apocalyptic number.

4002221120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002221120 is an abundant number, since it is smaller than the sum of its proper divisors (5528068684).

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

4002221120 is a wasteful number, since it uses less digits than its factorization.

4002221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506958 (or 12506948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4002221120 is about 63263.1102618264. The cubic root of 4002221120 is about 1587.6948149534.

Adding to 4002221120 its reverse (211222004), we get a palindrome (4213443124).

The spelling of 4002221120 in words is "four billion, two million, two hundred twenty-one thousand, one hundred twenty".