240135040000 has 220 divisors, whose sum is σ = 609785218768. Its totient is φ = 94464000000.

The previous prime is 240135039973. The next prime is 240135040021. The reversal of 240135040000 is 40531042.

It is a self number, because there is not a number n which added to its sum of digits gives 240135040000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39036925 + ... + 39043075.

Almost surely, 2^240135040000 is an apocalyptic number.

240135040000 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 240135040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304892609384).

240135040000 is an abundant number, since it is smaller than the sum of its proper divisors (369650178768).

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

240135040000 is an frugal number, since it uses more digits than its factorization.

240135040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 240135040000 its reverse (40531042), we get a palindrome (240175571042).

The spelling of 240135040000 in words is "two hundred forty billion, one hundred thirty-five million, forty thousand".