240861558672 has 480 divisors, whose sum is σ = 807109056000. Its totient is φ = 65625956352.

The previous prime is 240861558629. The next prime is 240861558673. The reversal of 240861558672 is 276855168042.

240861558672 is a `hidden beast` number, since 2 + 4 + 0 + 86 + 1 + 558 + 6 + 7 + 2 = 666.

240861558672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (240861558673) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 494582013 + ... + 494582499.

It is an arithmetic number, because the mean of its divisors is an integer number (1681477200).

Almost surely, 2^240861558672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240861558672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403554528000).

240861558672 is an abundant number, since it is smaller than the sum of its proper divisors (566247497328).

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

240861558672 is a wasteful number, since it uses less digits than its factorization.

240861558672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 240861558672 in words is "two hundred forty billion, eight hundred sixty-one million, five hundred fifty-eight thousand, six hundred seventy-two".