4210001920 has 96 divisors (see below), whose sum is σ = 10450603800. Its totient is φ = 1625817088.

The previous prime is 4210001911. The next prime is 4210001927. The reversal of 4210001920 is 291000124.

It can be written as a sum of positive squares in 4 ways, for example, as 4174193664 + 35808256 = 64608^2 + 5984^2 .

It is not an unprimeable number, because it can be changed into a prime (4210001927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289872 + ... + 304048.

Almost surely, 2^4210001920 is an apocalyptic number.

4210001920 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 4210001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225301900).

4210001920 is an abundant number, since it is smaller than the sum of its proper divisors (6240601880).

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

4210001920 is a wasteful number, since it uses less digits than its factorization.

4210001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 4210001920 is about 64884.5275855500. The cubic root of 4210001920 is about 1614.7083754894.

The spelling of 4210001920 in words is "four billion, two hundred ten million, one thousand, nine hundred twenty".