40217638617 has 60 divisors (see below), whose sum is σ = 65206440684. Its totient is φ = 24691754880.

The previous prime is 40217638613. The next prime is 40217638631. The reversal of 40217638617 is 71683671204.

40217638617 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 7 + 638 + 6 + 1 + 7 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3610087056 + 36607551561 = 60084^2 + 191331^2 .

It is not a de Polignac number, because 40217638617 - 2² = 40217638613 is a prime.

It is a super-3 number, since 3×40217638617³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40217638613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6307443 + ... + 6313815.

Almost surely, 2^40217638617 is an apocalyptic number.

It is an amenable number.

40217638617 is a deficient number, since it is larger than the sum of its proper divisors (24988802067).

40217638617 is a wasteful number, since it uses less digits than its factorization.

40217638617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40217638617 in words is "forty billion, two hundred seventeen million, six hundred thirty-eight thousand, six hundred seventeen".