41171867352 has 256 divisors, whose sum is σ = 142940851200. Its totient is φ = 10667427840.

The previous prime is 41171867291. The next prime is 41171867371. The reversal of 41171867352 is 25376817114.

41171867352 is a `hidden beast` number, since 4 + 117 + 186 + 7 + 352 = 666.

It is a super-2 number, since 2×41171867352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41171867298 and 41171867307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7198798 + ... + 7204514.

It is an arithmetic number, because the mean of its divisors is an integer number (558362700).

Almost surely, 2^41171867352 is an apocalyptic number.

41171867352 is a gapful number since it is divisible by the number (42) 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 41171867352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71470425600).

41171867352 is an abundant number, since it is smaller than the sum of its proper divisors (101768983848).

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

41171867352 is a wasteful number, since it uses less digits than its factorization.

41171867352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6173 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 41171867352 in words is "forty-one billion, one hundred seventy-one million, eight hundred sixty-seven thousand, three hundred fifty-two".