41245200 has 300 divisors, whose sum is σ = 158142160. Its totient is φ = 10264320.

The previous prime is 41245199. The next prime is 41245201. The reversal of 41245200 is 254214.

It is an interprime number because it is at equal distance from previous prime (41245199) and next prime (41245201).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (41245201) 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 59 ways as a sum of consecutive naturals, for example, 615567 + ... + 615633.

Almost surely, 2^41245200 is an apocalyptic number.

41245200 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 41245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79071080).

41245200 is an abundant number, since it is smaller than the sum of its proper divisors (116896960).

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

41245200 is a wasteful number, since it uses less digits than its factorization.

41245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41245200 is about 6422.2425989681. The cubic root of 41245200 is about 345.5077589478.

Adding to 41245200 its reverse (254214), we get a palindrome (41499414).

The spelling of 41245200 in words is "forty-one million, two hundred forty-five thousand, two hundred".