240147816960 has 320 divisors, whose sum is σ = 779624600832. Its totient is φ = 63054544896.

The previous prime is 240147816827. The next prime is 240147816971. The reversal of 240147816960 is 69618741042.

240147816960 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 (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 144928452 + ... + 144930108.

Almost surely, 2^240147816960 is an apocalyptic number.

240147816960 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 240147816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389812300416).

240147816960 is an abundant number, since it is smaller than the sum of its proper divisors (539476783872).

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

240147816960 is a wasteful number, since it uses less digits than its factorization.

240147816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 240147816960 in words is "two hundred forty billion, one hundred forty-seven million, eight hundred sixteen thousand, nine hundred sixty".