261458768849040 has 640 divisors, whose sum is σ = 1118353335091200. Its totient is φ = 54790290708480.

The previous prime is 261458768848919. The next prime is 261458768849077. The reversal of 261458768849040 is 40948867854162.

261458768849040 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 58 + 7 + 6 + 88 + 490 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 261458768849040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5773647 + ... + 23585006.

It is an arithmetic number, because the mean of its divisors is an integer number (1747427086080).

Almost surely, 2^{261458768849040} is an apocalyptic number.

261458768849040 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 261458768849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559176667545600).

261458768849040 is an abundant number, since it is smaller than the sum of its proper divisors (856894566242160).

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

261458768849040 is a wasteful number, since it uses less digits than its factorization.

261458768849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29358732 (or 29358720 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 261458768849040 in words is "two hundred sixty-one trillion, four hundred fifty-eight billion, seven hundred sixty-eight million, eight hundred forty-nine thousand, forty".