240120430000 has 200 divisors, whose sum is σ = 640514982096. Its totient is φ = 86448000000.

The previous prime is 240120429961. The next prime is 240120430001. The reversal of 240120430000 is 34021042.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (240120430001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11099194 + ... + 11120806.

Almost surely, 2^240120430000 is an apocalyptic number.

240120430000 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 240120430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320257491048).

240120430000 is an abundant number, since it is smaller than the sum of its proper divisors (400394552096).

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

240120430000 is a wasteful number, since it uses less digits than its factorization.

240120430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21753 (or 21732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 240120430000 its reverse (34021042), we get a palindrome (240154451042).

The spelling of 240120430000 in words is "two hundred forty billion, one hundred twenty million, four hundred thirty thousand".