242111234304 has 567 divisors, whose sum is σ = 781373118477. Its totient is φ = 74822787072.

The previous prime is 242111234263. The next prime is 242111234353. The reversal of 242111234304 is 403432111242.

The square root of 242111234304 is 492048.

It is a perfect power (a square), and thus also a powerful number.

242111234304 is a `hidden beast` number, since 2 + 4 + 211 + 12 + 3 + 430 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188494905600 + 53616328704 = 434160^2 + 231552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3613600479 + ... + 3613600545.

Almost surely, 2^242111234304 is an apocalyptic number.

242111234304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

242111234304 is the 492048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242111234304

242111234304 is an abundant number, since it is smaller than the sum of its proper divisors (539261884173).

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

242111234304 is an frugal number, since it uses more digits than its factorization.

242111234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242111234304 its reverse (403432111242), we get a palindrome (645543345546).

The spelling of 242111234304 in words is "two hundred forty-two billion, one hundred eleven million, two hundred thirty-four thousand, three hundred four".