242766401300000 has 144 divisors (see below), whose sum is σ = 597513621446280. Its totient is φ = 97087230720000.

The previous prime is 242766401299963. The next prime is 242766401300021. The reversal of 242766401300000 is 3104667242.

242766401300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 61505308171024 + 181261093128976 = 7842532^2 + 13463324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507460916 + ... + 507939084.

Almost surely, 2^{242766401300000} is an apocalyptic number.

242766401300000 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 242766401300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298756810723140).

242766401300000 is an abundant number, since it is smaller than the sum of its proper divisors (354747220146280).

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

242766401300000 is an frugal number, since it uses more digits than its factorization.

242766401300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483281 (or 483253 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

Adding to 242766401300000 its reverse (3104667242), we get a palindrome (242769505967242).

The spelling of 242766401300000 in words is "two hundred forty-two trillion, seven hundred sixty-six billion, four hundred one million, three hundred thousand".