240383391264 has 288 divisors, whose sum is σ = 718474917888. Its totient is φ = 76142592000.

The previous prime is 240383391247. The next prime is 240383391289. The reversal of 240383391264 is 462193383042.

240383391264 is a `hidden beast` number, since 2 + 4 + 0 + 383 + 3 + 9 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176621944 + ... + 176623304.

It is an arithmetic number, because the mean of its divisors is an integer number (2494704576).

Almost surely, 2^240383391264 is an apocalyptic number.

240383391264 is a gapful number since it is divisible by the number (24) 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 240383391264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359237458944).

240383391264 is an abundant number, since it is smaller than the sum of its proper divisors (478091526624).

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

240383391264 is a wasteful number, since it uses less digits than its factorization.

240383391264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 240383391264 in words is "two hundred forty billion, three hundred eighty-three million, three hundred ninety-one thousand, two hundred sixty-four".