41112000 has 168 divisors, whose sum is σ = 147322032. Its totient is φ = 10944000.

The previous prime is 41111989. The next prime is 41112013. The reversal of 41112000 is 21114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71715 + ... + 72285.

Almost surely, 2^41112000 is an apocalyptic number.

41112000 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 41112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73661016).

41112000 is an abundant number, since it is smaller than the sum of its proper divisors (106210032).

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

41112000 is a wasteful number, since it uses less digits than its factorization.

41112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 41112000 is about 6411.8640035484. The cubic root of 41112000 is about 345.1354225761.

Adding to 41112000 its reverse (21114), we get a palindrome (41133114).

The spelling of 41112000 in words is "forty-one million, one hundred twelve thousand".