4201004200 has 48 divisors (see below), whose sum is σ = 9804595680. Its totient is φ = 1673991360.

The previous prime is 4201004179. The next prime is 4201004237. The reversal of 4201004200 is 24001024.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12667 + ... + 92533.

It is an arithmetic number, because the mean of its divisors is an integer number (204262410).

Almost surely, 2^4201004200 is an apocalyptic number.

4201004200 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 4201004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902297840).

4201004200 is an abundant number, since it is smaller than the sum of its proper divisors (5603591480).

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

4201004200 is a wasteful number, since it uses less digits than its factorization.

4201004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80146 (or 80137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4201004200 is about 64815.1540922337. The cubic root of 4201004200 is about 1613.5572234798.

Adding to 4201004200 its reverse (24001024), we get a palindrome (4225005224).

The spelling of 4201004200 in words is "four billion, two hundred one million, four thousand, two hundred".