4412134224 has 120 divisors (see below), whose sum is σ = 12613255200. Its totient is φ = 1439328000.

The previous prime is 4412134217. The next prime is 4412134231. The reversal of 4412134224 is 4224312144.

4412134224 is a `hidden beast` number, since 441 + 213 + 4 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4412134217) and next prime (4412134231).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2131462 + ... + 2133530.

It is an arithmetic number, because the mean of its divisors is an integer number (105110460).

Almost surely, 2^4412134224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412134224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306627600).

4412134224 is an abundant number, since it is smaller than the sum of its proper divisors (8201120976).

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

4412134224 is a wasteful number, since it uses less digits than its factorization.

4412134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2384 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4412134224 is about 66423.8979886005. The cubic root of 4412134224 is about 1640.1474961533.

Adding to 4412134224 its reverse (4224312144), we get a palindrome (8636446368).

The spelling of 4412134224 in words is "four billion, four hundred twelve million, one hundred thirty-four thousand, two hundred twenty-four".