240041252000 has 144 divisors (see below), whose sum is σ = 648273376296. Its totient is φ = 87287552000.

The previous prime is 240041251987. The next prime is 240041252027. The reversal of 240041252000 is 252140042.

It is a happy number.

240041252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86311388944 + 153729863056 = 293788^2 + 392084^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 236024 + ... + 731976.

Almost surely, 2^240041252000 is an apocalyptic number.

240041252000 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 240041252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324136688148).

240041252000 is an abundant number, since it is smaller than the sum of its proper divisors (408232124296).

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

240041252000 is a wasteful number, since it uses less digits than its factorization.

240041252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496000 (or 495971 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 240041252000 its reverse (252140042), we get a palindrome (240293392042).

The spelling of 240041252000 in words is "two hundred forty billion, forty-one million, two hundred fifty-two thousand".