242839441152 has 1152 divisors, whose sum is σ = 934528573440. Its totient is φ = 61138022400.

The previous prime is 242839441147. The next prime is 242839441177. The reversal of 242839441152 is 251144938242.

242839441152 is a `hidden beast` number, since 2 + 4 + 28 + 39 + 441 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 242839441098 and 242839441107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1853736127 + ... + 1853736257.

It is an arithmetic number, because the mean of its divisors is an integer number (811222720).

Almost surely, 2^242839441152 is an apocalyptic number.

242839441152 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 242839441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467264286720).

242839441152 is an abundant number, since it is smaller than the sum of its proper divisors (691689132288).

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

242839441152 is an equidigital number, since it uses as much as digits as its factorization.

242839441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 242839441152 in words is "two hundred forty-two billion, eight hundred thirty-nine million, four hundred forty-one thousand, one hundred fifty-two".