242131230432 has 288 divisors, whose sum is σ = 848500144128. Its totient is φ = 63780369408.

The previous prime is 242131230431. The next prime is 242131230461. The reversal of 242131230432 is 234032131242.

242131230432 is a `hidden beast` number, since 2 + 4 + 213 + 12 + 3 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 242131230396 and 242131230405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242131230431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23136433 + ... + 23146895.

It is an arithmetic number, because the mean of its divisors is an integer number (2946181056).

Almost surely, 2^242131230432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242131230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424250072064).

242131230432 is an abundant number, since it is smaller than the sum of its proper divisors (606368913696).

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

242131230432 is a wasteful number, since it uses less digits than its factorization.

242131230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242131230432 its reverse (234032131242), we get a palindrome (476163361674).

The spelling of 242131230432 in words is "two hundred forty-two billion, one hundred thirty-one million, two hundred thirty thousand, four hundred thirty-two".