41006679168000 has 2112 divisors, whose sum is σ = 177725578567680. Its totient is φ = 8194867200000.

The previous prime is 41006679167999. The next prime is 41006679168001. The reversal of 41006679168000 is 86197660014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41006679167999) and next prime (41006679168001).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41006679168001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8631165625 + ... + 8631170375.

It is an arithmetic number, because the mean of its divisors is an integer number (84150368640).

Almost surely, 2^{41006679168000} is an apocalyptic number.

41006679168000 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 41006679168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862789283840).

41006679168000 is an abundant number, since it is smaller than the sum of its proper divisors (136718899399680).

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

41006679168000 is a wasteful number, since it uses less digits than its factorization.

41006679168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 41006679168000 in words is "forty-one trillion, six billion, six hundred seventy-nine million, one hundred sixty-eight thousand".