242458131299472 has 240 divisors, whose sum is σ = 783796706746560. Its totient is φ = 69148361318400.

The previous prime is 242458131299393. The next prime is 242458131299509. The reversal of 242458131299472 is 274992131854242.

242458131299472 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 5 + 8 + 131 + 29 + 9 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186318572 + ... + 1186522932.

It is an arithmetic number, because the mean of its divisors is an integer number (3265819611444).

Almost surely, 2^{242458131299472} is an apocalyptic number.

242458131299472 is a gapful number since it is divisible by the number (22) 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 242458131299472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391898353373280).

242458131299472 is an abundant number, since it is smaller than the sum of its proper divisors (541338575447088).

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

242458131299472 is a wasteful number, since it uses less digits than its factorization.

242458131299472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248462 (or 248453 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 242458131299472 in words is "two hundred forty-two trillion, four hundred fifty-eight billion, one hundred thirty-one million, two hundred ninety-nine thousand, four hundred seventy-two".