242141548320 has 576 divisors, whose sum is σ = 964282475520. Its totient is φ = 54188918784.

The previous prime is 242141548289. The next prime is 242141548331. The reversal of 242141548320 is 23845141242.

242141548320 is a `hidden beast` number, since 2 + 42 + 1 + 41 + 548 + 32 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120888439 + ... + 120890441.

It is an arithmetic number, because the mean of its divisors is an integer number (1674101520).

Almost surely, 2^242141548320 is an apocalyptic number.

242141548320 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 242141548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482141237760).

242141548320 is an abundant number, since it is smaller than the sum of its proper divisors (722140927200).

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

242141548320 is a wasteful number, since it uses less digits than its factorization.

242141548320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 242141548320 its reverse (23845141242), we get a palindrome (265986689562).

The spelling of 242141548320 in words is "two hundred forty-two billion, one hundred forty-one million, five hundred forty-eight thousand, three hundred twenty".