242021324404224 has 320 divisors, whose sum is σ = 721037400652800. Its totient is φ = 80152193212416.

The previous prime is 242021324404201. The next prime is 242021324404229. The reversal of 242021324404224 is 422404423120242.

242021324404224 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 2 + 1 + 3 + 24 + 404 + 224 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242021324404229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3546637497 + ... + 3546705735.

It is an arithmetic number, because the mean of its divisors is an integer number (2253241877040).

Almost surely, 2^{242021324404224} is an apocalyptic number.

242021324404224 is a gapful number since it is divisible by the number (24) 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 242021324404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360518700326400).

242021324404224 is an abundant number, since it is smaller than the sum of its proper divisors (479016076248576).

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

242021324404224 is a wasteful number, since it uses less digits than its factorization.

242021324404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69922 (or 69900 counting only the distinct ones).

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

Adding to 242021324404224 its reverse (422404423120242), we get a palindrome (664425747524466).

The spelling of 242021324404224 in words is "two hundred forty-two trillion, twenty-one billion, three hundred twenty-four million, four hundred four thousand, two hundred twenty-four".