41713173000 has 384 divisors, whose sum is σ = 144825239520. Its totient is φ = 10824652800.

The previous prime is 41713172981. The next prime is 41713173001. The reversal of 41713173000 is 37131714.

41713173000 is a `hidden beast` number, since 41 + 7 + 1 + 317 + 300 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7807843044 + 33905329956 = 88362^2 + 184134^2 .

It is not an unprimeable number, because it can be changed into a prime (41713173001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74888722 + ... + 74889278.

Almost surely, 2^41713173000 is an apocalyptic number.

41713173000 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 41713173000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72412619760).

41713173000 is an abundant number, since it is smaller than the sum of its proper divisors (103112066520).

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

41713173000 is a wasteful number, since it uses less digits than its factorization.

41713173000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 41713173000 in words is "forty-one billion, seven hundred thirteen million, one hundred seventy-three thousand".