41410135820046 has 192 divisors, whose sum is σ = 101661791454720. Its totient is φ = 11181238548480.

The previous prime is 41410135820023. The next prime is 41410135820063. The reversal of 41410135820046 is 64002853101414.

41410135820046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×41410135820046⁴ (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41410135819986 and 41410135820013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9362452191 + ... + 9362456613.

It is an arithmetic number, because the mean of its divisors is an integer number (529488497160).

Almost surely, 2^{41410135820046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41410135820046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50830895727360).

41410135820046 is an abundant number, since it is smaller than the sum of its proper divisors (60251655634674).

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

41410135820046 is a wasteful number, since it uses less digits than its factorization.

41410135820046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8192 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 41410135820046 in words is "forty-one trillion, four hundred ten billion, one hundred thirty-five million, eight hundred twenty thousand, forty-six".