240180720000 has 640 divisors, whose sum is σ = 896140143360. Its totient is φ = 56534016000.

The previous prime is 240180719993. The next prime is 240180720001. The reversal of 240180720000 is 27081042.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240180720001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71758327 + ... + 71761673.

It is an arithmetic number, because the mean of its divisors is an integer number (1400218974).

Almost surely, 2^240180720000 is an apocalyptic number.

240180720000 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 240180720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448070071680).

240180720000 is an abundant number, since it is smaller than the sum of its proper divisors (655959423360).

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

240180720000 is a wasteful number, since it uses less digits than its factorization.

240180720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 240180720000 in words is "two hundred forty billion, one hundred eighty million, seven hundred twenty thousand".