240442730500 has 144 divisors (see below), whose sum is σ = 611524892160. Its totient is φ = 82348056000.

The previous prime is 240442730483. The next prime is 240442730509. The reversal of 240442730500 is 5037244042.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (240442730509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24960685 + ... + 24970315.

It is an arithmetic number, because the mean of its divisors is an integer number (4246700640).

Almost surely, 2^240442730500 is an apocalyptic number.

240442730500 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 240442730500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305762446080).

240442730500 is an abundant number, since it is smaller than the sum of its proper divisors (371082161660).

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

240442730500 is a wasteful number, since it uses less digits than its factorization.

240442730500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

Adding to 240442730500 its reverse (5037244042), we get a palindrome (245479974542).

The spelling of 240442730500 in words is "two hundred forty billion, four hundred forty-two million, seven hundred thirty thousand, five hundred".