240045200000 has 192 divisors, whose sum is σ = 599530377600. Its totient is φ = 95729280000.

The previous prime is 240045199931. The next prime is 240045200027. The reversal of 240045200000 is 2540042.

240045200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 175599317 + ... + 175600683.

It is an arithmetic number, because the mean of its divisors is an integer number (3122554050).

Almost surely, 2^240045200000 is an apocalyptic number.

240045200000 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 240045200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299765188800).

240045200000 is an abundant number, since it is smaller than the sum of its proper divisors (359485177600).

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

240045200000 is an frugal number, since it uses more digits than its factorization.

240045200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

Adding to 240045200000 its reverse (2540042), we get a palindrome (240047740042).

The spelling of 240045200000 in words is "two hundred forty billion, forty-five million, two hundred thousand".