240468056640 has 1176 divisors, whose sum is σ = 1013081545080. Its totient is φ = 54177693696.

The previous prime is 240468056611. The next prime is 240468056659. The reversal of 240468056640 is 46650864042.

240468056640 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 6 + 80 + 566 + 4 + 0 = 666.

240468056640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19349922816 + 221118133824 = 139104^2 + 470232^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 167 ways as a sum of consecutive naturals, for example, 1245948384 + ... + 1245948576.

Almost surely, 2^240468056640 is an apocalyptic number.

240468056640 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 240468056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506540772540).

240468056640 is an abundant number, since it is smaller than the sum of its proper divisors (772613488440).

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

240468056640 is a wasteful number, since it uses less digits than its factorization.

240468056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 240468056640 in words is "two hundred forty billion, four hundred sixty-eight million, fifty-six thousand, six hundred forty".