242434123776 has 288 divisors, whose sum is σ = 757119242880. Its totient is φ = 74292166656.

The previous prime is 242434123709. The next prime is 242434123781. The reversal of 242434123776 is 677321434242.

242434123776 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 341 + 237 + 76 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63017085 + ... + 63020931.

It is an arithmetic number, because the mean of its divisors is an integer number (2628886260).

Almost surely, 2^242434123776 is an apocalyptic number.

242434123776 is a gapful number since it is divisible by the number (26) 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 242434123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378559621440).

242434123776 is an abundant number, since it is smaller than the sum of its proper divisors (514685119104).

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

242434123776 is a wasteful number, since it uses less digits than its factorization.

242434123776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4128 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The spelling of 242434123776 in words is "two hundred forty-two billion, four hundred thirty-four million, one hundred twenty-three thousand, seven hundred seventy-six".