40817086711128 has 1024 divisors, whose sum is σ = 145761406156800. Its totient is φ = 10294232094720.

The previous prime is 40817086711091. The next prime is 40817086711129. The reversal of 40817086711128 is 82111768071804.

40817086711128 is a `hidden beast` number, since 408 + 1 + 70 + 86 + 71 + 1 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40817086711129) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49355606251 + ... + 49355607077.

It is an arithmetic number, because the mean of its divisors is an integer number (142345123200).

Almost surely, 2^{40817086711128} 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 40817086711128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72880703078400).

40817086711128 is an abundant number, since it is smaller than the sum of its proper divisors (104944319445672).

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

40817086711128 is a wasteful number, since it uses less digits than its factorization.

40817086711128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 40817086711128 in words is "forty trillion, eight hundred seventeen billion, eighty-six million, seven hundred eleven thousand, one hundred twenty-eight".