41185335568000 has 512 divisors, whose sum is σ = 111150396564480. Its totient is φ = 15086518272000.

The previous prime is 41185335567991. The next prime is 41185335568019. The reversal of 41185335568000 is 86553358114.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14486574579 + ... + 14486577421.

It is an arithmetic number, because the mean of its divisors is an integer number (217090618290).

Almost surely, 2^{41185335568000} is an apocalyptic number.

41185335568000 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 41185335568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55575198282240).

41185335568000 is an abundant number, since it is smaller than the sum of its proper divisors (69965060996480).

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

41185335568000 is a wasteful number, since it uses less digits than its factorization.

41185335568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 41185335568000 in words is "forty-one trillion, one hundred eighty-five billion, three hundred thirty-five million, five hundred sixty-eight thousand".