242413321300000 has 576 divisors, whose sum is σ = 615749821239168. Its totient is φ = 93884313600000.

The previous prime is 242413321299971. The next prime is 242413321300001. The reversal of 242413321300000 is 3123314242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (242413321300001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360198099664 + ... + 360198100336.

It is an arithmetic number, because the mean of its divisors is an integer number (1069010106318).

Almost surely, 2^{242413321300000} is an apocalyptic number.

242413321300000 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 242413321300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307874910619584).

242413321300000 is an abundant number, since it is smaller than the sum of its proper divisors (373336499939168).

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

242413321300000 is an equidigital number, since it uses as much as digits as its factorization.

242413321300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 242413321300000 its reverse (3123314242), we get a palindrome (242416444614242).

The spelling of 242413321300000 in words is "two hundred forty-two trillion, four hundred thirteen billion, three hundred twenty-one million, three hundred thousand".