242021122414240 has 192 divisors, whose sum is σ = 640406684598912. Its totient is φ = 85852588953600.

The previous prime is 242021122414229. The next prime is 242021122414261. The reversal of 242021122414240 is 42414221120242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16724166 + ... + 27635845.

It is an arithmetic number, because the mean of its divisors is an integer number (3335451482286).

Almost surely, 2^{242021122414240} is an apocalyptic number.

242021122414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242021122414240 is an abundant number, since it is smaller than the sum of its proper divisors (398385562184672).

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

242021122414240 is a wasteful number, since it uses less digits than its factorization.

242021122414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44360143 (or 44360135 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 242021122414240 its reverse (42414221120242), we get a palindrome (284435343534482).

The spelling of 242021122414240 in words is "two hundred forty-two trillion, twenty-one billion, one hundred twenty-two million, four hundred fourteen thousand, two hundred forty".