4224232324224 has 432 divisors, whose sum is σ = 13444926366690. Its totient is φ = 1272087674880.

The previous prime is 4224232324187. The next prime is 4224232324243.

4224232324224 is a `hidden beast` number, since 4 + 2 + 2 + 423 + 2 + 3 + 2 + 4 + 224 = 666.

4224232324224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 4172084034624 + 52148289600 = 2042568^2 + 228360^2 .

It is a super-3 number, since 3×4224232324224³ (a number of 39 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11966663632 + ... + 11966663984.

Almost surely, 2^{4224232324224} is an apocalyptic number.

4224232324224 is a gapful number since it is divisible by the number (44) 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 4224232324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722463183345).

4224232324224 is an abundant number, since it is smaller than the sum of its proper divisors (9220694042466).

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

4224232324224 is a wasteful number, since it uses less digits than its factorization.

4224232324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 662 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 4224232324224 in words is "four trillion, two hundred twenty-four billion, two hundred thirty-two million, three hundred twenty-four thousand, two hundred twenty-four".