242404442000 has 80 divisors (see below), whose sum is σ = 669867399552. Its totient is φ = 83110089600.

The previous prime is 242404441943. The next prime is 242404442009. The reversal of 242404442000 is 244404242.

242404442000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (242404442009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8643302 + ... + 8671301.

Almost surely, 2^242404442000 is an apocalyptic number.

242404442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242404442000 is an abundant number, since it is smaller than the sum of its proper divisors (427462957552).

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

242404442000 is a wasteful number, since it uses less digits than its factorization.

242404442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314633 (or 17314617 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 242404442000 its reverse (244404242), we get a palindrome (242648846242).

The spelling of 242404442000 in words is "two hundred forty-two billion, four hundred four million, four hundred forty-two thousand".