41513872071168 has 960 divisors, whose sum is σ = 150159755446272. Its totient is φ = 10781751214080.

The previous prime is 41513872071163. The next prime is 41513872071169. The reversal of 41513872071168 is 86117027831514.

It is a happy number.

41513872071168 is a `hidden beast` number, since 4 + 1 + 51 + 387 + 207 + 1 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (41513872071163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180326223 + ... + 1180361393.

Almost surely, 2^{41513872071168} is an apocalyptic number.

41513872071168 is a gapful number since it is divisible by the number (48) 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 41513872071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75079877723136).

41513872071168 is an abundant number, since it is smaller than the sum of its proper divisors (108645883375104).

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

41513872071168 is a wasteful number, since it uses less digits than its factorization.

41513872071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35305 (or 35286 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 41513872071168 in words is "forty-one trillion, five hundred thirteen billion, eight hundred seventy-two million, seventy-one thousand, one hundred sixty-eight".