242660014490880 has 864 divisors, whose sum is σ = 968414201664000. Its totient is φ = 54952950693888.

The previous prime is 242660014490843. The next prime is 242660014490891. The reversal of 242660014490880 is 88094410066242.

It is a happy number.

242660014490880 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 60 + 0 + 14 + 490 + 8 + 80 = 666.

242660014490880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4418480061 + ... + 4418534979.

Almost surely, 2^{242660014490880} is an apocalyptic number.

242660014490880 is a gapful number since it is divisible by the number (20) 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 242660014490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484207100832000).

242660014490880 is an abundant number, since it is smaller than the sum of its proper divisors (725754187173120).

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

242660014490880 is a wasteful number, since it uses less digits than its factorization.

242660014490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55459 (or 55442 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 242660014490880 in words is "two hundred forty-two trillion, six hundred sixty billion, fourteen million, four hundred ninety thousand, eight hundred eighty".