4161200 has 60 divisors (see below), whose sum is σ = 10194288. Its totient is φ = 1632000.

The previous prime is 4161197. The next prime is 4161221. The reversal of 4161200 is 21614.

4161200 = T₈₉ + T₉₀ + ... + T₂₉₄.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40349 + ... + 40451.

Almost surely, 2^4161200 is an apocalyptic number.

4161200 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 4161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097144).

4161200 is an abundant number, since it is smaller than the sum of its proper divisors (6033088).

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

4161200 is a wasteful number, since it uses less digits than its factorization.

4161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4161200 is about 2039.9019584284. The cubic root of 4161200 is about 160.8444931867.

Adding to 4161200 its reverse (21614), we get a palindrome (4182814).

The spelling of 4161200 in words is "four million, one hundred sixty-one thousand, two hundred".