242344968069120 has 1344 divisors, whose sum is σ = 922663875369600. Its totient is φ = 54139048427520.

The previous prime is 242344968069091. The next prime is 242344968069199. The reversal of 242344968069120 is 21960869443242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 64299538596 + ... + 64299542364.

It is an arithmetic number, because the mean of its divisors is an integer number (686505859650).

Almost surely, 2^{242344968069120} is an apocalyptic number.

242344968069120 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 242344968069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461331937684800).

242344968069120 is an abundant number, since it is smaller than the sum of its proper divisors (680318907300480).

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

242344968069120 is a wasteful number, since it uses less digits than its factorization.

242344968069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 242344968069120 in words is "two hundred forty-two trillion, three hundred forty-four billion, nine hundred sixty-eight million, sixty-nine thousand, one hundred twenty".