242332441344 has 216 divisors, whose sum is σ = 808144227072. Its totient is φ = 68403271680.

The previous prime is 242332441343. The next prime is 242332441397. The reversal of 242332441344 is 443144233242.

242332441344 is a `hidden beast` number, since 2 + 4 + 233 + 2 + 4 + 413 + 4 + 4 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 242332441299 and 242332441308.

It is not an unprimeable number, because it can be changed into a prime (242332441343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248109 + ... + 1429139.

Almost surely, 2^242332441344 is an apocalyptic number.

242332441344 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 242332441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404072113536).

242332441344 is an abundant number, since it is smaller than the sum of its proper divisors (565811785728).

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

242332441344 is a wasteful number, since it uses less digits than its factorization.

242332441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181143 (or 181126 counting only the distinct ones).

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

Adding to 242332441344 its reverse (443144233242), we get a palindrome (685476674586).

The spelling of 242332441344 in words is "two hundred forty-two billion, three hundred thirty-two million, four hundred forty-one thousand, three hundred forty-four".