242204322432 has 128 divisors (see below), whose sum is σ = 657690451200. Its totient is φ = 78939238400.

The previous prime is 242204322401. The next prime is 242204322433. The reversal of 242204322432 is 234223402242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 242204322432.

It is not an unprimeable number, because it can be changed into a prime (242204322433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20009182 + ... + 20021282.

It is an arithmetic number, because the mean of its divisors is an integer number (5138206650).

Almost surely, 2^242204322432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242204322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328845225600).

242204322432 is an abundant number, since it is smaller than the sum of its proper divisors (415486128768).

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

242204322432 is a wasteful number, since it uses less digits than its factorization.

242204322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274 (or 13262 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242204322432 its reverse (234223402242), we get a palindrome (476427724674).

The spelling of 242204322432 in words is "two hundred forty-two billion, two hundred four million, three hundred twenty-two thousand, four hundred thirty-two".