240244020000 has 360 divisors, whose sum is σ = 859470131520. Its totient is φ = 63633600000.

The previous prime is 240244019989. The next prime is 240244020041. The reversal of 240244020000 is 20442042.

240244020000 is a `hidden beast` number, since 24 + 0 + 2 + 440 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×240244020000³ (a number of 35 digits) contains 333 as substring.

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 59 ways as a sum of consecutive naturals, for example, 27175581 + ... + 27184419.

It is an arithmetic number, because the mean of its divisors is an integer number (2387417032).

Almost surely, 2^240244020000 is an apocalyptic number.

240244020000 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 240244020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429735065760).

240244020000 is an abundant number, since it is smaller than the sum of its proper divisors (619226111520).

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

240244020000 is a wasteful number, since it uses less digits than its factorization.

240244020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 240244020000 its reverse (20442042), we get a palindrome (240264462042).

The spelling of 240244020000 in words is "two hundred forty billion, two hundred forty-four million, twenty thousand".