240132132240 has 640 divisors, whose sum is σ = 1019934720000. Its totient is φ = 46057052160.

The previous prime is 240132132217. The next prime is 240132132269. The reversal of 240132132240 is 42231231042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 240132132240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11761561 + ... + 11781959.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648000).

Almost surely, 2^240132132240 is an apocalyptic number.

240132132240 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 240132132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509967360000).

240132132240 is an abundant number, since it is smaller than the sum of its proper divisors (779802587760).

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

240132132240 is a wasteful number, since it uses less digits than its factorization.

240132132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20460 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 240132132240 its reverse (42231231042), we get a palindrome (282363363282).

The spelling of 240132132240 in words is "two hundred forty billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred forty".