4205040210 has 128 divisors (see below), whose sum is σ = 12948042240. Its totient is φ = 951201792.

The previous prime is 4205040179. The next prime is 4205040211. The reversal of 4205040210 is 120405024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4205040211) 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 63 ways as a sum of consecutive naturals, for example, 171862 + ... + 194798.

It is an arithmetic number, because the mean of its divisors is an integer number (101156580).

Almost surely, 2^4205040210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205040210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474021120).

4205040210 is an abundant number, since it is smaller than the sum of its proper divisors (8743002030).

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

4205040210 is a wasteful number, since it uses less digits than its factorization.

4205040210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23057 (or 23051 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4205040210 is about 64846.2813891437. The cubic root of 4205040210 is about 1614.0737863753.

Adding to 4205040210 its reverse (120405024), we get a palindrome (4325445234).

The spelling of 4205040210 in words is "four billion, two hundred five million, forty thousand, two hundred ten".