240081513960960 has 1600 divisors, whose sum is σ = 1036259782272000. Its totient is φ = 51897214107648.

The previous prime is 240081513960823. The next prime is 240081513961111. The reversal of 240081513960960 is 69069315180042.

240081513960960 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 8 + 1 + 513 + 9 + 60 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 240081513960897 and 240081513960906.

It is a congruent number.

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, 16519741854 + ... + 16519756386.

It is an arithmetic number, because the mean of its divisors is an integer number (647662363920).

Almost surely, 2^{240081513960960} is an apocalyptic number.

240081513960960 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 240081513960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518129891136000).

240081513960960 is an abundant number, since it is smaller than the sum of its proper divisors (796178268311040).

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

240081513960960 is a wasteful number, since it uses less digits than its factorization.

240081513960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15193 (or 15168 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 240081513960960 in words is "two hundred forty trillion, eighty-one billion, five hundred thirteen million, nine hundred sixty thousand, nine hundred sixty".