41427200 has 54 divisors (see below), whose sum is σ = 102554634. Its totient is φ = 16568320.

The previous prime is 41427193. The next prime is 41427203. The reversal of 41427200 is 272414.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 41165056 = 512^2 + 6416^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41427203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3164 + ... + 9636.

Almost surely, 2^41427200 is an apocalyptic number.

41427200 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 41427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51277317).

41427200 is an abundant number, since it is smaller than the sum of its proper divisors (61127434).

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

41427200 is an equidigital number, since it uses as much as digits as its factorization.

41427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 41427200 is about 6436.3965073634. The cubic root of 41427200 is about 346.0152131148.

Adding to 41427200 its reverse (272414), we get a palindrome (41699614).

The spelling of 41427200 in words is "forty-one million, four hundred twenty-seven thousand, two hundred".