41118470510208 has 1728 divisors, whose sum is σ = 147927062941920. Its totient is φ = 10082657894400.

The previous prime is 41118470510179. The next prime is 41118470510209. The reversal of 41118470510208 is 80201507481114.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 41118470510208.

It is not an unprimeable number, because it can be changed into a prime (41118470510209) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 92818217635 + ... + 92818218077.

Almost surely, 2^{41118470510208} is an apocalyptic number.

41118470510208 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 41118470510208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73963531470960).

41118470510208 is an abundant number, since it is smaller than the sum of its proper divisors (106808592431712).

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

41118470510208 is a wasteful number, since it uses less digits than its factorization.

41118470510208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 41118470510208 in words is "forty-one trillion, one hundred eighteen billion, four hundred seventy million, five hundred ten thousand, two hundred eight".