41144000112 has 160 divisors (see below), whose sum is σ = 119811379200. Its totient is φ = 13516409088.

The previous prime is 41144000101. The next prime is 41144000113. The reversal of 41144000112 is 21100044114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37301353 + ... + 37302455.

It is an arithmetic number, because the mean of its divisors is an integer number (748821120).

Almost surely, 2^41144000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41144000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59905689600).

41144000112 is an abundant number, since it is smaller than the sum of its proper divisors (78667379088).

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

41144000112 is a wasteful number, since it uses less digits than its factorization.

41144000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41144000112 its reverse (21100044114), we get a palindrome (62244044226).

The spelling of 41144000112 in words is "forty-one billion, one hundred forty-four million, one hundred twelve", and thus it is an aban number.