4224114232320 has 352 divisors, whose sum is σ = 13811319267840. Its totient is φ = 1101555302400.

The previous prime is 4224114232307. The next prime is 4224114232321. The reversal of 4224114232320 is 232324114224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4224114232321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174892245 + ... + 174916395.

Almost surely, 2^{4224114232320} is an apocalyptic number.

4224114232320 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 4224114232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905659633920).

4224114232320 is an abundant number, since it is smaller than the sum of its proper divisors (9587205035520).

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

4224114232320 is a wasteful number, since it uses less digits than its factorization.

4224114232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24431 (or 24413 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4224114232320 its reverse (232324114224), we get a palindrome (4456438346544).

The spelling of 4224114232320 in words is "four trillion, two hundred twenty-four billion, one hundred fourteen million, two hundred thirty-two thousand, three hundred twenty".