240343505423424 has 168 divisors, whose sum is σ = 741960409619520. Its totient is φ = 73945195011072.

The previous prime is 240343505423393. The next prime is 240343505423429. The reversal of 240343505423424 is 424324505343042.

240343505423424 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 4 + 3 + 50 + 542 + 34 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 240343505423424.

It is not an unprimeable number, because it can be changed into a prime (240343505423429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82120419 + ... + 84996765.

It is an arithmetic number, because the mean of its divisors is an integer number (4416431009640).

Almost surely, 2^{240343505423424} is an apocalyptic number.

240343505423424 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 240343505423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370980204809760).

240343505423424 is an abundant number, since it is smaller than the sum of its proper divisors (501616904196096).

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

240343505423424 is a wasteful number, since it uses less digits than its factorization.

240343505423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887537 (or 2887524 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

The spelling of 240343505423424 in words is "two hundred forty trillion, three hundred forty-three billion, five hundred five million, four hundred twenty-three thousand, four hundred twenty-four".