61440412617 has 12 divisors (see below), whose sum is σ = 89625949764. Its totient is φ = 40554727200.

The previous prime is 61440412577. The next prime is 61440412633. The reversal of 61440412617 is 71621404416.

It is a happy number.

61440412617 is a `hidden beast` number, since 614 + 4 + 0 + 4 + 1 + 26 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50695224336 + 10745188281 = 225156^2 + 103659^2 .

It is not a de Polignac number, because 61440412617 - 2¹⁴ = 61440396233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61440412217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33794698 + ... + 33796515.

It is an arithmetic number, because the mean of its divisors is an integer number (7468829147).

Almost surely, 2^61440412617 is an apocalyptic number.

It is an amenable number.

61440412617 is a deficient number, since it is larger than the sum of its proper divisors (28185537147).

61440412617 is a wasteful number, since it uses less digits than its factorization.

61440412617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67591320 (or 67591317 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 61440412617 in words is "sixty-one billion, four hundred forty million, four hundred twelve thousand, six hundred seventeen".