242431345200 has 120 divisors (see below), whose sum is σ = 847187401536. Its totient is φ = 58771232000.

The previous prime is 242431345159. The next prime is 242431345259. The reversal of 242431345200 is 2543134242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9169806 + ... + 9196205.

Almost surely, 2^242431345200 is an apocalyptic number.

242431345200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242431345200 is an abundant number, since it is smaller than the sum of its proper divisors (604756056336).

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

242431345200 is a wasteful number, since it uses less digits than its factorization.

242431345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18366043 (or 18366032 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 242431345200 its reverse (2543134242), we get a palindrome (244974479442).

The spelling of 242431345200 in words is "two hundred forty-two billion, four hundred thirty-one million, three hundred forty-five thousand, two hundred".