41688806000 has 80 divisors (see below), whose sum is σ = 101332228608. Its totient is φ = 16588064000.

The previous prime is 41688805997. The next prime is 41688806057. The reversal of 41688806000 is 60888614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 327434 + ... + 436566.

Almost surely, 2^41688806000 is an apocalyptic number.

41688806000 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 41688806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50666114304).

41688806000 is an abundant number, since it is smaller than the sum of its proper divisors (59643422608).

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

41688806000 is a wasteful number, since it uses less digits than its factorization.

41688806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109347 (or 109331 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 41688806000 in words is "forty-one billion, six hundred eighty-eight million, eight hundred six thousand".