41085540000000 has 1728 divisors, whose sum is σ = 157770846105600. Its totient is φ = 10264320000000.

The previous prime is 41085539999953. The next prime is 41085540000041. The reversal of 41085540000000 is 4558014.

41085540000000 is a `hidden beast` number, since 4 + 108 + 554 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206459999901 + ... + 206460000099.

Almost surely, 2^{41085540000000} is an apocalyptic number.

41085540000000 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 41085540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78885423052800).

41085540000000 is an abundant number, since it is smaller than the sum of its proper divisors (116685306105600).

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

41085540000000 is an frugal number, since it uses more digits than its factorization.

41085540000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 41085540000000 its reverse (4558014), we get a palindrome (41085544558014).

The spelling of 41085540000000 in words is "forty-one trillion, eighty-five billion, five hundred forty million", and thus it is an aban number.