240045120000 has 1600 divisors, whose sum is σ = 1048239456000. Its totient is φ = 54867456000.

The previous prime is 240045119989. The next prime is 240045120047. The reversal of 240045120000 is 21540042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34292159997 + ... + 34292160003.

It is an arithmetic number, because the mean of its divisors is an integer number (655149660).

Almost surely, 2^240045120000 is an apocalyptic number.

240045120000 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 240045120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524119728000).

240045120000 is an abundant number, since it is smaller than the sum of its proper divisors (808194336000).

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

240045120000 is an frugal number, since it uses more digits than its factorization.

240045120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 240045120000 its reverse (21540042), we get a palindrome (240066660042).

The spelling of 240045120000 in words is "two hundred forty billion, forty-five million, one hundred twenty thousand".