4142200 has 48 divisors (see below), whose sum is σ = 9765000. Its totient is φ = 1633920.

The previous prime is 4142179. The next prime is 4142227. The reversal of 4142200 is 22414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27726 + ... + 27874.

Almost surely, 2^4142200 is an apocalyptic number.

4142200 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 4142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882500).

4142200 is an abundant number, since it is smaller than the sum of its proper divisors (5622800).

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

4142200 is a wasteful number, since it uses less digits than its factorization.

4142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

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

The square root of 4142200 is about 2035.2395436410. The cubic root of 4142200 is about 160.5993148329.

Adding to 4142200 its reverse (22414), we get a palindrome (4164614).

The spelling of 4142200 in words is "four million, one hundred forty-two thousand, two hundred".