4161143200 has 72 divisors (see below), whose sum is σ = 10167872652. Its totient is φ = 1662904320.

The previous prime is 4161143191. The next prime is 4161143219. The reversal of 4161143200 is 23411614.

It can be written as a sum of positive squares in 6 ways, for example, as 1651934736 + 2509208464 = 40644^2 + 50092^2 .

It is a super-2 number, since 2×4161143200² = 34630225461812480000, which contains 22 as substring.

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, 1275972 + ... + 1279228.

Almost surely, 2^4161143200 is an apocalyptic number.

4161143200 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 4161143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083936326).

4161143200 is an abundant number, since it is smaller than the sum of its proper divisors (6006729452).

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

4161143200 is a wasteful number, since it uses less digits than its factorization.

4161143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4161143200 is about 64506.9236594026. The cubic root of 4161143200 is about 1608.4376134581.

Adding to 4161143200 its reverse (23411614), we get a palindrome (4184554814).

The spelling of 4161143200 in words is "four billion, one hundred sixty-one million, one hundred forty-three thousand, two hundred".