242343014242320 has 200 divisors, whose sum is σ = 842199357981696. Its totient is φ = 64585940550912.

The previous prime is 242343014242253. The next prime is 242343014242367. The reversal of 242343014242320 is 23242410343242.

242343014242320 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 4 + 301 + 4 + 24 + 2 + 320 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 468082 + ... + 22020561.

Almost surely, 2^{242343014242320} is an apocalyptic number.

242343014242320 is a gapful number since it is divisible by the number (20) 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 242343014242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421099678990848).

242343014242320 is an abundant number, since it is smaller than the sum of its proper divisors (599856343739376).

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

242343014242320 is a wasteful number, since it uses less digits than its factorization.

242343014242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22490331 (or 22490316 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 242343014242320 its reverse (23242410343242), we get a palindrome (265585424585562).

The spelling of 242343014242320 in words is "two hundred forty-two trillion, three hundred forty-three billion, fourteen million, two hundred forty-two thousand, three hundred twenty".