240042132330 has 256 divisors, whose sum is σ = 774228381696. Its totient is φ = 45999083520.

The previous prime is 240042132277. The next prime is 240042132347. The reversal of 240042132330 is 33231240042.

240042132330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 240042132330.

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 127 ways as a sum of consecutive naturals, for example, 38945829 + ... + 38951991.

It is an arithmetic number, because the mean of its divisors is an integer number (3024329616).

Almost surely, 2^240042132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240042132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387114190848).

240042132330 is an abundant number, since it is smaller than the sum of its proper divisors (534186249366).

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

240042132330 is a wasteful number, since it uses less digits than its factorization.

240042132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 240042132330 its reverse (33231240042), we get a palindrome (273273372372).

The spelling of 240042132330 in words is "two hundred forty billion, forty-two million, one hundred thirty-two thousand, three hundred thirty".