242431334000 has 160 divisors (see below), whose sum is σ = 603012833280. Its totient is φ = 94215072000.

The previous prime is 242431333987. The next prime is 242431334051. The reversal of 242431334000 is 433134242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16418621 + ... + 16433379.

It is an arithmetic number, because the mean of its divisors is an integer number (3768830208).

Almost surely, 2^242431334000 is an apocalyptic number.

242431334000 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 242431334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301506416640).

242431334000 is an abundant number, since it is smaller than the sum of its proper divisors (360581499280).

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

242431334000 is a wasteful number, since it uses less digits than its factorization.

242431334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016 (or 15000 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 242431334000 its reverse (433134242), we get a palindrome (242864468242).

The spelling of 242431334000 in words is "two hundred forty-two billion, four hundred thirty-one million, three hundred thirty-four thousand".