242432313040 has 80 divisors (see below), whose sum is σ = 579790391040. Its totient is φ = 94226664960.

The previous prime is 242432313017. The next prime is 242432313043. The reversal of 242432313040 is 40313234242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242432313043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290710 + ... + 754570.

It is an arithmetic number, because the mean of its divisors is an integer number (7247379888).

Almost surely, 2^242432313040 is an apocalyptic number.

242432313040 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 242432313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289895195520).

242432313040 is an abundant number, since it is smaller than the sum of its proper divisors (337358078000).

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

242432313040 is a wasteful number, since it uses less digits than its factorization.

242432313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464060 (or 464054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 242432313040 its reverse (40313234242), we get a palindrome (282745547282).

The spelling of 242432313040 in words is "two hundred forty-two billion, four hundred thirty-two million, three hundred thirteen thousand, forty".