4422414312 has 192 divisors, whose sum is σ = 12899328000. Its totient is φ = 1364688000.

The previous prime is 4422414301. The next prime is 4422414313. The reversal of 4422414312 is 2134142244.

4422414312 is a `hidden beast` number, since 4 + 4 + 224 + 1 + 431 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4422414313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16318737 + ... + 16319007.

It is an arithmetic number, because the mean of its divisors is an integer number (67184000).

Almost surely, 2^4422414312 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 4422414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449664000).

4422414312 is an abundant number, since it is smaller than the sum of its proper divisors (8476913688).

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

4422414312 is a wasteful number, since it uses less digits than its factorization.

4422414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

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

The square root of 4422414312 is about 66501.2354170958. The cubic root of 4422414312 is about 1641.4203331092.

Adding to 4422414312 its reverse (2134142244), we get a palindrome (6556556556).

The spelling of 4422414312 in words is "four billion, four hundred twenty-two million, four hundred fourteen thousand, three hundred twelve".