41245085819808 has 336 divisors, whose sum is σ = 134654877896616. Its totient is φ = 12347797800960.

The previous prime is 41245085819737. The next prime is 41245085819813. The reversal of 41245085819808 is 80891858054214.

41245085819808 is a `hidden beast` number, since 4 + 1 + 2 + 45 + 0 + 8 + 581 + 9 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30279795333264 + 10965290486544 = 5502708^2 + 3311388^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9382878 + ... + 13058658.

Almost surely, 2^{41245085819808} is an apocalyptic number.

41245085819808 is a gapful number since it is divisible by the number (48) 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 41245085819808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67327438948308).

41245085819808 is an abundant number, since it is smaller than the sum of its proper divisors (93409792076808).

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

41245085819808 is a wasteful number, since it uses less digits than its factorization.

41245085819808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675859 (or 3675836 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 41245085819808 in words is "forty-one trillion, two hundred forty-five billion, eighty-five million, eight hundred nineteen thousand, eight hundred eight".