242323507040 has 96 divisors (see below), whose sum is σ = 589235199840. Its totient is φ = 94116556800.

The previous prime is 242323507009. The next prime is 242323507061. The reversal of 242323507040 is 40705323242.

242323507040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 242323506988 and 242323507006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296626 + ... + 1471694.

It is an arithmetic number, because the mean of its divisors is an integer number (6137866665).

Almost surely, 2^242323507040 is an apocalyptic number.

242323507040 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 242323507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294617599920).

242323507040 is an abundant number, since it is smaller than the sum of its proper divisors (346911692800).

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

242323507040 is a wasteful number, since it uses less digits than its factorization.

242323507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175336 (or 175328 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The spelling of 242323507040 in words is "two hundred forty-two billion, three hundred twenty-three million, five hundred seven thousand, forty".