240669338240 has 128 divisors (see below), whose sum is σ = 594981504000. Its totient is φ = 92994232320.

The previous prime is 240669338237. The next prime is 240669338267. The reversal of 240669338240 is 42833966042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11278301 + ... + 11299619.

It is an arithmetic number, because the mean of its divisors is an integer number (4648293000).

Almost surely, 2^240669338240 is an apocalyptic number.

240669338240 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 240669338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297490752000).

240669338240 is an abundant number, since it is smaller than the sum of its proper divisors (354312165760).

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

240669338240 is a wasteful number, since it uses less digits than its factorization.

240669338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938 (or 21926 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 240669338240 in words is "two hundred forty billion, six hundred sixty-nine million, three hundred thirty-eight thousand, two hundred forty".