41115200 has 84 divisors (see below), whose sum is σ = 115653312. Its totient is φ = 14092800.

The previous prime is 41115199. The next prime is 41115203. The reversal of 41115200 is 251114.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (41115203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9365 + ... + 13035.

Almost surely, 2^41115200 is an apocalyptic number.

41115200 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 41115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57826656).

41115200 is an abundant number, since it is smaller than the sum of its proper divisors (74538112).

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

41115200 is a wasteful number, since it uses less digits than its factorization.

41115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 41115200 is about 6412.1135361127. The cubic root of 41115200 is about 345.1443770152.

Adding to 41115200 its reverse (251114), we get a palindrome (41366314).

The spelling of 41115200 in words is "forty-one million, one hundred fifteen thousand, two hundred".