242030421313200 has 360 divisors, whose sum is σ = 906128177699472. Its totient is φ = 59470892513280.

The previous prime is 242030421313193. The next prime is 242030421313201. The reversal of 242030421313200 is 2313124030242.

242030421313200 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 3 + 0 + 421 + 31 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (242030421313201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21755514 + ... + 30941286.

Almost surely, 2^{242030421313200} is an apocalyptic number.

242030421313200 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 242030421313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453064088849736).

242030421313200 is an abundant number, since it is smaller than the sum of its proper divisors (664097756386272).

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

242030421313200 is a wasteful number, since it uses less digits than its factorization.

242030421313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186373 (or 9186359 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242030421313200 its reverse (2313124030242), we get a palindrome (244343545343442).

The spelling of 242030421313200 in words is "two hundred forty-two trillion, thirty billion, four hundred twenty-one million, three hundred thirteen thousand, two hundred".