240609795066849 has 288 divisors, whose sum is σ = 385502622253056. Its totient is φ = 132533300148480.

The previous prime is 240609795066793. The next prime is 240609795066853. The reversal of 240609795066849 is 948660597906042.

It is not a de Polignac number, because 240609795066849 - 2³⁷ = 240472356113377 is a prime.

It is a super-2 number, since 2×240609795066849² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240609795066859) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 248820883764 + ... + 248820884730.

It is an arithmetic number, because the mean of its divisors is an integer number (1338550771712).

Almost surely, 2^{240609795066849} is an apocalyptic number.

It is an amenable number.

240609795066849 is a deficient number, since it is larger than the sum of its proper divisors (144892827186207).

240609795066849 is a wasteful number, since it uses less digits than its factorization.

240609795066849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 75.

The spelling of 240609795066849 in words is "two hundred forty trillion, six hundred nine billion, seven hundred ninety-five million, sixty-six thousand, eight hundred forty-nine".