4442210434224 has 240 divisors, whose sum is σ = 12818600271360. Its totient is φ = 1435471994880.

The previous prime is 4442210434223. The next prime is 4442210434267. The reversal of 4442210434224 is 4224340122444.

4442210434224 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 210 + 434 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4442210434223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395243997 + ... + 395255235.

It is an arithmetic number, because the mean of its divisors is an integer number (53410834464).

Almost surely, 2^{4442210434224} 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 4442210434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409300135680).

4442210434224 is an abundant number, since it is smaller than the sum of its proper divisors (8376389837136).

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

4442210434224 is a wasteful number, since it uses less digits than its factorization.

4442210434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968 (or 11959 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4442210434224 its reverse (4224340122444), we get a palindrome (8666550556668).

The spelling of 4442210434224 in words is "four trillion, four hundred forty-two billion, two hundred ten million, four hundred thirty-four thousand, two hundred twenty-four".