42443224224 has 96 divisors (see below), whose sum is σ = 115323264000. Its totient is φ = 13651835904.

The previous prime is 42443224223. The next prime is 42443224249. The reversal of 42443224224 is 42242234424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (42443224223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6313537 + ... + 6320255.

It is an arithmetic number, because the mean of its divisors is an integer number (1201284000).

Almost surely, 2^42443224224 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 42443224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57661632000).

42443224224 is an abundant number, since it is smaller than the sum of its proper divisors (72880039776).

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

42443224224 is a wasteful number, since it uses less digits than its factorization.

42443224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9022 counting only the distinct ones).

The product of its digits is 98304, while the sum is 33.

Adding to 42443224224 its reverse (42242234424), we get a palindrome (84685458648).

The spelling of 42443224224 in words is "forty-two billion, four hundred forty-three million, two hundred twenty-four thousand, two hundred twenty-four".