41808930688000 has 704 divisors, whose sum is σ = 127522480280832. Its totient is φ = 13351727923200.

The previous prime is 41808930687989. The next prime is 41808930688003. The reversal of 41808930688000 is 88603980814.

It is not an unprimeable number, because it can be changed into a prime (41808930688003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1477489852 + ... + 1477518148.

Almost surely, 2^{41808930688000} is an apocalyptic number.

41808930688000 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 41808930688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63761240140416).

41808930688000 is an abundant number, since it is smaller than the sum of its proper divisors (85713549592832).

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

41808930688000 is a wasteful number, since it uses less digits than its factorization.

41808930688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28453 (or 28425 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 41808930688000 in words is "forty-one trillion, eight hundred eight billion, nine hundred thirty million, six hundred eighty-eight thousand".