240042443163840 has 1120 divisors, whose sum is σ = 927538297076160. Its totient is φ = 58704095084544.

The previous prime is 240042443163833. The next prime is 240042443163937. The reversal of 240042443163840 is 48361344240042.

240042443163840 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 4 + 2 + 4 + 4 + 3 + 1 + 638 + 4 + 0 = 666.

It is a super-3 number, since 3×240042443163840³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2669792806 + ... + 2669882714.

It is an arithmetic number, because the mean of its divisors is an integer number (828159193818).

Almost surely, 2^{240042443163840} is an apocalyptic number.

240042443163840 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 240042443163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463769148538080).

240042443163840 is an abundant number, since it is smaller than the sum of its proper divisors (687495853912320).

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

240042443163840 is a wasteful number, since it uses less digits than its factorization.

240042443163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90111 (or 90092 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 240042443163840 in words is "two hundred forty trillion, forty-two billion, four hundred forty-three million, one hundred sixty-three thousand, eight hundred forty".