240013725952 has 216 divisors, whose sum is σ = 648134314688. Its totient is φ = 86317608960.

The previous prime is 240013725943. The next prime is 240013725989. The reversal of 240013725952 is 259527310042.

240013725952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2776243 + ... + 2861389.

Almost surely, 2^240013725952 is an apocalyptic number.

240013725952 is a gapful number since it is divisible by the number (22) 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 240013725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324067157344).

240013725952 is an abundant number, since it is smaller than the sum of its proper divisors (408120588736).

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

240013725952 is a wasteful number, since it uses less digits than its factorization.

240013725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85205 (or 85180 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 240013725952 in words is "two hundred forty billion, thirteen million, seven hundred twenty-five thousand, nine hundred fifty-two".