41126834165760 has 1728 divisors, whose sum is σ = 169698516099840. Its totient is φ = 9182214881280.

The previous prime is 41126834165723. The next prime is 41126834165773. The reversal of 41126834165760 is 6756143862114.

41126834165760 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 68 + 3 + 4 + 1 + 6 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41126834165697 and 41126834165706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47655659089 + ... + 47655659951.

It is an arithmetic number, because the mean of its divisors is an integer number (98205159780).

Almost surely, 2^{41126834165760} is an apocalyptic number.

41126834165760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41126834165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84849258049920).

41126834165760 is an abundant number, since it is smaller than the sum of its proper divisors (128571681934080).

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

41126834165760 is a wasteful number, since it uses less digits than its factorization.

41126834165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 41126834165760 in words is "forty-one trillion, one hundred twenty-six billion, eight hundred thirty-four million, one hundred sixty-five thousand, seven hundred sixty".