240324324240 has 960 divisors, whose sum is σ = 1014991036416. Its totient is φ = 45771264000.

The previous prime is 240324324221. The next prime is 240324324277. The reversal of 240324324240 is 42423423042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240324324198 and 240324324207.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 557596825 + ... + 557597255.

Almost surely, 2^240324324240 is an apocalyptic number.

240324324240 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 240324324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507495518208).

240324324240 is an abundant number, since it is smaller than the sum of its proper divisors (774666712176).

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

240324324240 is a wasteful number, since it uses less digits than its factorization.

240324324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

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

Adding to 240324324240 its reverse (42423423042), we get a palindrome (282747747282).

The spelling of 240324324240 in words is "two hundred forty billion, three hundred twenty-four million, three hundred twenty-four thousand, two hundred forty".