240042323424 has 144 divisors (see below), whose sum is σ = 704140870608. Its totient is φ = 71343673344.

The previous prime is 240042323399. The next prime is 240042323429. The reversal of 240042323424 is 424323240042.

It is a junction number, because it is equal to n+sod(n) for n = 240042323391 and 240042323400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240042323429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385434 + ... + 792870.

It is an arithmetic number, because the mean of its divisors is an integer number (4889867157).

Almost surely, 2^240042323424 is an apocalyptic number.

240042323424 is a gapful number since it is divisible by the number (24) 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 240042323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352070435304).

240042323424 is an abundant number, since it is smaller than the sum of its proper divisors (464098547184).

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

240042323424 is a wasteful number, since it uses less digits than its factorization.

240042323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407505 (or 407478 counting only the distinct ones).

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

Adding to 240042323424 its reverse (424323240042), we get a palindrome (664365563466).

The spelling of 240042323424 in words is "two hundred forty billion, forty-two million, three hundred twenty-three thousand, four hundred twenty-four".