4220220220224 has 224 divisors, whose sum is σ = 12299132810880. Its totient is φ = 1272214315008.

The previous prime is 4220220220219. The next prime is 4220220220231.

4220220220224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4220220220224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4220220220194 and 4220220220203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6858762 + ... + 7448694.

Almost surely, 2^{4220220220224} 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 4220220220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149566405440).

4220220220224 is an abundant number, since it is smaller than the sum of its proper divisors (8078912590656).

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

4220220220224 is a wasteful number, since it uses less digits than its factorization.

4220220220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590057 (or 590047 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4220220 and 220224, that added together give a palindrome (4440444).

The spelling of 4220220220224 in words is "four trillion, two hundred twenty billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty-four".