41112960 has 384 divisors, whose sum is σ = 167443200. Its totient is φ = 8515584.

The previous prime is 41112887. The next prime is 41112961. The reversal of 41112960 is 6921114.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41112960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41112961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787509 + ... + 1787531.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^41112960 is an apocalyptic number.

41112960 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 41112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).

41112960 is an abundant number, since it is smaller than the sum of its proper divisors (126330240).

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

41112960 is a wasteful number, since it uses less digits than its factorization.

41112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 41112960 is about 6411.9388643374. The cubic root of 41112960 is about 345.1381089566.

The spelling of 41112960 in words is "forty-one million, one hundred twelve thousand, nine hundred sixty".