242322144000 has 288 divisors, whose sum is σ = 832636808640. Its totient is φ = 62390272000.

The previous prime is 242322143927. The next prime is 242322144041. The reversal of 242322144000 is 441223242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2740480 + ... + 2827520.

It is an arithmetic number, because the mean of its divisors is an integer number (2891100030).

Almost surely, 2^242322144000 is an apocalyptic number.

242322144000 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 242322144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416318404320).

242322144000 is an abundant number, since it is smaller than the sum of its proper divisors (590314664640).

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

242322144000 is an equidigital number, since it uses as much as digits as its factorization.

242322144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87104 (or 87080 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242322144000 its reverse (441223242), we get a palindrome (242763367242).

The spelling of 242322144000 in words is "two hundred forty-two billion, three hundred twenty-two million, one hundred forty-four thousand".