240443296128 has 128 divisors (see below), whose sum is σ = 811019136000. Its totient is φ = 68698077696.

The previous prime is 240443296069. The next prime is 240443296201. The reversal of 240443296128 is 821692344042.

240443296128 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 4 + 3 + 29 + 612 + 8 = 666.

240443296128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4945288 + ... + 4993671.

It is an arithmetic number, because the mean of its divisors is an integer number (6336087000).

Almost surely, 2^240443296128 is an apocalyptic number.

240443296128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

240443296128 is an abundant number, since it is smaller than the sum of its proper divisors (570575839872).

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

240443296128 is an equidigital number, since it uses as much as digits as its factorization.

240443296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938989 (or 9938971 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 240443296128 in words is "two hundred forty billion, four hundred forty-three million, two hundred ninety-six thousand, one hundred twenty-eight".