242132115456 has 840 divisors, whose sum is σ = 919315530936. Its totient is φ = 62798561280.

The previous prime is 242132115419. The next prime is 242132115461. The reversal of 242132115456 is 654511231242.

242132115456 is a `hidden beast` number, since 2 + 421 + 32 + 1 + 154 + 56 = 666.

It is a super-2 number, since 2×242132115456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242132115456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 357654190 + ... + 357654866.

Almost surely, 2^242132115456 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 242132115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459657765468).

242132115456 is an abundant number, since it is smaller than the sum of its proper divisors (677183415480).

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

242132115456 is an equidigital number, since it uses as much as digits as its factorization.

242132115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 700 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 242132115456 its reverse (654511231242), we get a palindrome (896643346698).

The spelling of 242132115456 in words is "two hundred forty-two billion, one hundred thirty-two million, one hundred fifteen thousand, four hundred fifty-six".