240272755604460 has 576 divisors, whose sum is σ = 804751680096000. Its totient is φ = 57849379061760.

The previous prime is 240272755604449. The next prime is 240272755604491. The reversal of 240272755604460 is 64406557272042.

It is a happy number.

240272755604460 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 7 + 2 + 75 + 560 + 4 + 4 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 240272755604397 and 240272755604406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 681934416 + ... + 682286664.

It is an arithmetic number, because the mean of its divisors is an integer number (1397138333500).

Almost surely, 2^{240272755604460} is an apocalyptic number.

240272755604460 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 240272755604460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402375840048000).

240272755604460 is an abundant number, since it is smaller than the sum of its proper divisors (564478924491540).

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

240272755604460 is a wasteful number, since it uses less digits than its factorization.

240272755604460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352458 (or 352453 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 240272755604460 in words is "two hundred forty trillion, two hundred seventy-two billion, seven hundred fifty-five million, six hundred four thousand, four hundred sixty".