4414221312 has 88 divisors (see below), whose sum is σ = 12171462000. Its totient is φ = 1420640256.

The previous prime is 4414221307. The next prime is 4414221313. The reversal of 4414221312 is 2131224144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (4414221313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64314 + ... + 113862.

Almost surely, 2^4414221312 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 4414221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085731000).

4414221312 is an abundant number, since it is smaller than the sum of its proper divisors (7757240688).

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

4414221312 is a wasteful number, since it uses less digits than its factorization.

4414221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49601 (or 49583 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4414221312 is about 66439.6065009419. The cubic root of 4414221312 is about 1640.4060703771.

Adding to 4414221312 its reverse (2131224144), we get a palindrome (6545445456).

The spelling of 4414221312 in words is "four billion, four hundred fourteen million, two hundred twenty-one thousand, three hundred twelve".