40117507061688 has 576 divisors, whose sum is σ = 134408530526400. Its totient is φ = 10761418321920.

The previous prime is 40117507061683. The next prime is 40117507061693. The reversal of 40117507061688 is 88616070571104.

40117507061688 is a `hidden beast` number, since 4 + 0 + 1 + 17 + 5 + 0 + 7 + 0 + 616 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (40117507061683) and next prime (40117507061693).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40117507061683) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 530245270 + ... + 530320922.

It is an arithmetic number, because the mean of its divisors is an integer number (233348143275).

Almost surely, 2^{40117507061688} 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 40117507061688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67204265263200).

40117507061688 is an abundant number, since it is smaller than the sum of its proper divisors (94291023464712).

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

40117507061688 is a wasteful number, since it uses less digits than its factorization.

40117507061688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75852 (or 75838 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 40117507061688 in words is "forty trillion, one hundred seventeen billion, five hundred seven million, sixty-one thousand, six hundred eighty-eight".