240343842816 has 912 divisors, whose sum is σ = 916034246400. Its totient is φ = 62426972160.

The previous prime is 240343842787. The next prime is 240343842821. The reversal of 240343842816 is 618248343042.

It is a happy number.

240343842816 is a `hidden beast` number, since 24 + 0 + 343 + 8 + 4 + 281 + 6 = 666.

It is a super-2 number, since 2×240343842816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21849440251 + ... + 21849440261.

Almost surely, 2^240343842816 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 240343842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458017123200).

240343842816 is an abundant number, since it is smaller than the sum of its proper divisors (675690403584).

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

240343842816 is an frugal number, since it uses more digits than its factorization.

240343842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 240343842816 in words is "two hundred forty billion, three hundred forty-three million, eight hundred forty-two thousand, eight hundred sixteen".