4412116800 has 1134 divisors, whose sum is σ = 20287022418. Its totient is φ = 905748480.

The previous prime is 4412116789. The next prime is 4412116823. The reversal of 4412116800 is 86112144.

It is a happy number.

4412116800 is a `hidden beast` number, since 441 + 211 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1820899584 + 2591217216 = 42672^2 + 50904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 119246382 + ... + 119246418.

Almost surely, 2^4412116800 is an apocalyptic number.

4412116800 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 4412116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143511209).

4412116800 is an abundant number, since it is smaller than the sum of its proper divisors (15874905618).

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

4412116800 is a wasteful number, since it uses less digits than its factorization.

4412116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4412116800 is about 66423.7668308566. The cubic root of 4412116800 is about 1640.1453371099.

Adding to 4412116800 its reverse (86112144), we get a palindrome (4498228944).

The spelling of 4412116800 in words is "four billion, four hundred twelve million, one hundred sixteen thousand, eight hundred".