240340242314124 has 216 divisors, whose sum is σ = 660659607644400. Its totient is φ = 73574430800640.

The previous prime is 240340242314113. The next prime is 240340242314167. The reversal of 240340242314124 is 421413242043042.

240340242314124 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 4 + 0 + 2 + 4 + 231 + 412 + 4 = 666.

It is a super-2 number, since 2×240340242314124² (a number of 30 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97641814 + ... + 100072994.

It is an arithmetic number, because the mean of its divisors is an integer number (3058609294650).

Almost surely, 2^{240340242314124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240340242314124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330329803822200).

240340242314124 is an abundant number, since it is smaller than the sum of its proper divisors (420319365330276).

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

240340242314124 is a wasteful number, since it uses less digits than its factorization.

240340242314124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431445 (or 2431417 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 240340242314124 its reverse (421413242043042), we get a palindrome (661753484357166).

The spelling of 240340242314124 in words is "two hundred forty trillion, three hundred forty billion, two hundred forty-two million, three hundred fourteen thousand, one hundred twenty-four".