4043200 has 126 divisors (see below), whose sum is σ = 11999976. Its totient is φ = 1313280.

The previous prime is 4043191. The next prime is 4043233. The reversal of 4043200 is 23404.

4043200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 212791 + ... + 212809.

Almost surely, 2^4043200 is an apocalyptic number.

4043200 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 4043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999988).

4043200 is an abundant number, since it is smaller than the sum of its proper divisors (7956776).

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

4043200 is a wasteful number, since it uses less digits than its factorization.

4043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4043200 is about 2010.7709964091. The cubic root of 4043200 is about 159.3095245592.

Adding to 4043200 its reverse (23404), we get a palindrome (4066604).

It can be divided in two parts, 40 and 43200, that multiplied together give a cube (1728000 = 120³).

The spelling of 4043200 in words is "four million, forty-three thousand, two hundred".