41311872 has 192 divisors, whose sum is σ = 140025600. Its totient is φ = 11446272.

The previous prime is 41311811. The next prime is 41311873. The reversal of 41311872 is 27811314.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1344) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (41311873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378954 + ... + 379062.

It is an arithmetic number, because the mean of its divisors is an integer number (729300).

Almost surely, 2^41311872 is an apocalyptic number.

41311872 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 41311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70012800).

41311872 is an abundant number, since it is smaller than the sum of its proper divisors (98713728).

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

41311872 is a wasteful number, since it uses less digits than its factorization.

41311872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 41311872 is about 6427.4312131675. The cubic root of 41311872 is about 345.6938274050.

The spelling of 41311872 in words is "forty-one million, three hundred eleven thousand, eight hundred seventy-two".