4210004120 has 128 divisors (see below), whose sum is σ = 11085465600. Its totient is φ = 1409081856.

The previous prime is 4210004087. The next prime is 4210004159. The reversal of 4210004120 is 214000124.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4210004095 and 4210004104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3546167 + ... + 3547353.

It is an arithmetic number, because the mean of its divisors is an integer number (86605200).

Almost surely, 2^4210004120 is an apocalyptic number.

4210004120 is a gapful number since it is divisible by the number (40) 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 4210004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542732800).

4210004120 is an abundant number, since it is smaller than the sum of its proper divisors (6875461480).

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

4210004120 is a wasteful number, since it uses less digits than its factorization.

4210004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

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

The square root of 4210004120 is about 64884.5445387420. The cubic root of 4210004120 is about 1614.7086567528.

Adding to 4210004120 its reverse (214000124), we get a palindrome (4424004244).

It can be divided in two parts, 4210004 and 120, that added together give a palindrome (4210124).

The spelling of 4210004120 in words is "four billion, two hundred ten million, four thousand, one hundred twenty".