242133331430000 has 200 divisors, whose sum is σ = 596326197970800. Its totient is φ = 95186021632000.

The previous prime is 242133331429973. The next prime is 242133331430009. The reversal of 242133331430000 is 34133331242.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133331430009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2261416466 + ... + 2261523534.

It is an arithmetic number, because the mean of its divisors is an integer number (2981630989854).

Almost surely, 2^{242133331430000} is an apocalyptic number.

242133331430000 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 242133331430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298163098985400).

242133331430000 is an abundant number, since it is smaller than the sum of its proper divisors (354192866540800).

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

242133331430000 is a wasteful number, since it uses less digits than its factorization.

242133331430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110989 (or 110968 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 242133331430000 its reverse (34133331242), we get a palindrome (242167464761242).

The spelling of 242133331430000 in words is "two hundred forty-two trillion, one hundred thirty-three billion, three hundred thirty-one million, four hundred thirty thousand".