4224120024320 has 144 divisors (see below), whose sum is σ = 11565404296320. Its totient is φ = 1448034803712.

The previous prime is 4224120024283. The next prime is 4224120024323. The reversal of 4224120024320 is 234200214224.

It is a super-2 number, since 2×4224120024320² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4224120024320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224120024323) 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, 60561626 + ... + 60631334.

Almost surely, 2^{4224120024320} is an apocalyptic number.

4224120024320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224120024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782702148160).

4224120024320 is an abundant number, since it is smaller than the sum of its proper divisors (7341284272000).

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

4224120024320 is an equidigital number, since it uses as much as digits as its factorization.

4224120024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76500 (or 76486 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4224120024320 its reverse (234200214224), we get a palindrome (4458320238544).

The spelling of 4224120024320 in words is "four trillion, two hundred twenty-four billion, one hundred twenty million, twenty-four thousand, three hundred twenty".