8419917665340 has 192 divisors, whose sum is σ = 27104405328000. Its totient is φ = 2167421276160.

The previous prime is 8419917665333. The next prime is 8419917665381. The reversal of 8419917665340 is 435667199148.

8419917665340 is a `hidden beast` number, since 8 + 4 + 1 + 9 + 91 + 7 + 6 + 6 + 534 + 0 = 666.

It is a super-2 number, since 2×8419917665340² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76067956 + ... + 76178564.

It is an arithmetic number, because the mean of its divisors is an integer number (141168777750).

Almost surely, 2^{8419917665340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8419917665340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552202664000).

8419917665340 is an abundant number, since it is smaller than the sum of its proper divisors (18684487662660).

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

8419917665340 is a wasteful number, since it uses less digits than its factorization.

8419917665340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115517 (or 115509 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 8419917665340 in words is "eight trillion, four hundred nineteen billion, nine hundred seventeen million, six hundred sixty-five thousand, three hundred forty".