4131200 has 48 divisors (see below), whose sum is σ = 10213260. Its totient is φ = 1651200.

The previous prime is 4131109. The next prime is 4131223. The reversal of 4131200 is 21314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2555 + ... + 3845.

Almost surely, 2^4131200 is an apocalyptic number.

4131200 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 4131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106630).

4131200 is an abundant number, since it is smaller than the sum of its proper divisors (6082060).

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

4131200 is a wasteful number, since it uses less digits than its factorization.

4131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4131200 is about 2032.5353625460. The cubic root of 4131200 is about 160.4570266320.

Adding to 4131200 its reverse (21314), we get a palindrome (4152514).

It can be divided in two parts, 41 and 31200, that multiplied together give a triangular number (1279200 = T₁₅₉₉).

The spelling of 4131200 in words is "four million, one hundred thirty-one thousand, two hundred".