242340834400 has 432 divisors, whose sum is σ = 724147464096. Its totient is φ = 77558906880.

The previous prime is 242340834353. The next prime is 242340834403. The reversal of 242340834400 is 4438043242.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242340834403) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 221720254 + ... + 221721346.

It is an arithmetic number, because the mean of its divisors is an integer number (1676267278).

Almost surely, 2^242340834400 is an apocalyptic number.

242340834400 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 242340834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362073732048).

242340834400 is an abundant number, since it is smaller than the sum of its proper divisors (481806629696).

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

242340834400 is a wasteful number, since it uses less digits than its factorization.

242340834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 242340834400 its reverse (4438043242), we get a palindrome (246778877642).

The spelling of 242340834400 in words is "two hundred forty-two billion, three hundred forty million, eight hundred thirty-four thousand, four hundred".