4114204220 has 96 divisors (see below), whose sum is σ = 10119997440. Its totient is φ = 1375672320.

The previous prime is 4114204201. The next prime is 4114204229. The reversal of 4114204220 is 224024114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4114204192 and 4114204201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114204229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2177036 + ... + 2178924.

It is an arithmetic number, because the mean of its divisors is an integer number (105416640).

Almost surely, 2^4114204220 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 4114204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059998720).

4114204220 is an abundant number, since it is smaller than the sum of its proper divisors (6005793220).

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

4114204220 is a wasteful number, since it uses less digits than its factorization.

4114204220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4114204220 is about 64142.0627981358. The cubic root of 4114204220 is about 1602.3668382175.

Adding to 4114204220 its reverse (224024114), we get a palindrome (4338228334).

The spelling of 4114204220 in words is "four billion, one hundred fourteen million, two hundred four thousand, two hundred twenty".