4204114420 has 96 divisors (see below), whose sum is σ = 10166486400. Its totient is φ = 1444262400.

The previous prime is 4204114403. The next prime is 4204114463. The reversal of 4204114420 is 244114024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4204114391 and 4204114400.

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, 1758586 + ... + 1760974.

It is an arithmetic number, because the mean of its divisors is an integer number (105900900).

Almost surely, 2^4204114420 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 4204114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083243200).

4204114420 is an abundant number, since it is smaller than the sum of its proper divisors (5962371980).

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

4204114420 is a wasteful number, since it uses less digits than its factorization.

4204114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4204114420 is about 64839.1426531844. The cubic root of 4204114420 is about 1613.9553251184.

Adding to 4204114420 its reverse (244114024), we get a palindrome (4448228444).

The spelling of 4204114420 in words is "four billion, two hundred four million, one hundred fourteen thousand, four hundred twenty".