242312406032 has 80 divisors (see below), whose sum is σ = 511681536000. Its totient is φ = 110723945472.

The previous prime is 242312406001. The next prime is 242312406041. The reversal of 242312406032 is 230604213242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 242312405986 and 242312406004.

It is an unprimeable number.

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, 10505969 + ... + 10529007.

It is an arithmetic number, because the mean of its divisors is an integer number (6396019200).

Almost surely, 2^242312406032 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 242312406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255840768000).

242312406032 is an abundant number, since it is smaller than the sum of its proper divisors (269369129968).

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

242312406032 is a wasteful number, since it uses less digits than its factorization.

242312406032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24288 (or 24282 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 242312406032 its reverse (230604213242), we get a palindrome (472916619274).

The spelling of 242312406032 in words is "two hundred forty-two billion, three hundred twelve million, four hundred six thousand, thirty-two".