240531040000000 has 192 divisors, whose sum is σ = 601179652382400. Its totient is φ = 96212352000000.

The previous prime is 240531039999947. The next prime is 240531040000001. The reversal of 240531040000000 is 40135042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240531040000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159248341 + ... + 160751659.

It is an arithmetic number, because the mean of its divisors is an integer number (3131144022825).

Almost surely, 2^{240531040000000} is an apocalyptic number.

240531040000000 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 240531040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300589826191200).

240531040000000 is an abundant number, since it is smaller than the sum of its proper divisors (360648612382400).

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

240531040000000 is an frugal number, since it uses more digits than its factorization.

240531040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503376 (or 1503326 counting only the distinct ones).

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

Adding to 240531040000000 its reverse (40135042), we get a palindrome (240531080135042).

The spelling of 240531040000000 in words is "two hundred forty trillion, five hundred thirty-one billion, forty million", and thus it is an aban number.