4200220024 has 96 divisors (see below), whose sum is σ = 10762945200. Its totient is φ = 1510548480.

The previous prime is 4200220019. The next prime is 4200220027.

4200220024 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200220027) 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 23 ways as a sum of consecutive naturals, for example, 18592 + ... + 93520.

Almost surely, 2^4200220024 is an apocalyptic number.

4200220024 is a gapful number since it is divisible by the number (44) 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 4200220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381472600).

4200220024 is an abundant number, since it is smaller than the sum of its proper divisors (6562725176).

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

4200220024 is a wasteful number, since it uses less digits than its factorization.

4200220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74973 (or 74962 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4200220024 is about 64809.1044838609. The cubic root of 4200220024 is about 1613.4568195821.

It can be divided in two parts, 42002 and 20024, that added together give a palindrome (62026).

The spelling of 4200220024 in words is "four billion, two hundred million, two hundred twenty thousand, twenty-four".