41111113200 has 360 divisors, whose sum is σ = 142285321728. Its totient is φ = 10139834880.

The previous prime is 41111113129. The next prime is 41111113201. The reversal of 41111113200 is 231111114.

41111113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41111113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41111113201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18626497 + ... + 18628703.

Almost surely, 2^41111113200 is an apocalyptic number.

41111113200 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 41111113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71142660864).

41111113200 is an abundant number, since it is smaller than the sum of its proper divisors (101174208528).

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

41111113200 is a wasteful number, since it uses less digits than its factorization.

41111113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 41111113200 its reverse (231111114), we get a palindrome (41342224314).

The spelling of 41111113200 in words is "forty-one billion, one hundred eleven million, one hundred thirteen thousand, two hundred".