240243013215504 has 240 divisors, whose sum is σ = 746738598408960. Its totient is φ = 73918287106560.

The previous prime is 240243013215497. The next prime is 240243013215553. The reversal of 240243013215504 is 405512310342042.

It is a happy number.

240243013215504 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 4 + 3 + 0 + 132 + 15 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3359865417 + ... + 3359936919.

It is an arithmetic number, because the mean of its divisors is an integer number (3111410826704).

Almost surely, 2^{240243013215504} is an apocalyptic number.

240243013215504 is a gapful number since it is divisible by the number (24) 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 240243013215504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373369299204480).

240243013215504 is an abundant number, since it is smaller than the sum of its proper divisors (506495585193456).

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

240243013215504 is a wasteful number, since it uses less digits than its factorization.

240243013215504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117567 (or 117542 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 240243013215504 its reverse (405512310342042), we get a palindrome (645755323557546).

The spelling of 240243013215504 in words is "two hundred forty trillion, two hundred forty-three billion, thirteen million, two hundred fifteen thousand, five hundred four".