41949407808000 has 7680 divisors, whose sum is σ = 216819882639360. Its totient is φ = 7526154240000.

The previous prime is 41949407807921. The next prime is 41949407808013. The reversal of 41949407808000 is 80870494914.

41949407808000 is a `hidden beast` number, since 4 + 1 + 9 + 494 + 0 + 78 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 711006911971 + ... + 711006912029.

It is an arithmetic number, because the mean of its divisors is an integer number (28231755552).

Almost surely, 2^{41949407808000} is an apocalyptic number.

41949407808000 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 41949407808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108409941319680).

41949407808000 is an abundant number, since it is smaller than the sum of its proper divisors (174870474831360).

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

41949407808000 is a wasteful number, since it uses less digits than its factorization.

41949407808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 41949407808000 in words is "forty-one trillion, nine hundred forty-nine billion, four hundred seven million, eight hundred eight thousand".