240134422320 has 240 divisors, whose sum is σ = 871797326400. Its totient is φ = 58884655104.

The previous prime is 240134422291. The next prime is 240134422327. The reversal of 240134422320 is 23224431042.

240134422320 is a `hidden beast` number, since 2 + 401 + 34 + 4 + 223 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×240134422320³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (240134422327) 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, 2412906 + ... + 2510454.

It is an arithmetic number, because the mean of its divisors is an integer number (3632488860).

Almost surely, 2^240134422320 is an apocalyptic number.

240134422320 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 240134422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435898663200).

240134422320 is an abundant number, since it is smaller than the sum of its proper divisors (631662904080).

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

240134422320 is a wasteful number, since it uses less digits than its factorization.

240134422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97844 (or 97835 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 240134422320 its reverse (23224431042), we get a palindrome (263358853362).

The spelling of 240134422320 in words is "two hundred forty billion, one hundred thirty-four million, four hundred twenty-two thousand, three hundred twenty".