4139200 has 84 divisors (see below), whose sum is σ = 11023600. Its totient is φ = 1520640.

The previous prime is 4139189. The next prime is 4139203. The reversal of 4139200 is 29314.

It is not an unprimeable number, because it can be changed into a prime (4139203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20701 + ... + 20899.

Almost surely, 2^4139200 is an apocalyptic number.

4139200 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 4139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511800).

4139200 is an abundant number, since it is smaller than the sum of its proper divisors (6884400).

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

4139200 is a wasteful number, since it uses less digits than its factorization.

4139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4139200 is about 2034.5023961647. The cubic root of 4139200 is about 160.5605339672.

The spelling of 4139200 in words is "four million, one hundred thirty-nine thousand, two hundred".