242376428160 has 576 divisors, whose sum is σ = 877004837280. Its totient is φ = 61647925248.

The previous prime is 242376428131. The next prime is 242376428171. The reversal of 242376428160 is 61824673242.

It is a happy number.

242376428160 is a `hidden beast` number, since 2 + 423 + 7 + 64 + 2 + 8 + 160 = 666.

242376428160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547124899 + ... + 547125341.

Almost surely, 2^242376428160 is an apocalyptic number.

242376428160 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 242376428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438502418640).

242376428160 is an abundant number, since it is smaller than the sum of its proper divisors (634628409120).

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

242376428160 is a wasteful number, since it uses less digits than its factorization.

242376428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 242376428160 in words is "two hundred forty-two billion, three hundred seventy-six million, four hundred twenty-eight thousand, one hundred sixty".