41217280 has 72 divisors (see below), whose sum is σ = 106365672. Its totient is φ = 15212544.

The previous prime is 41217269. The next prime is 41217283. The reversal of 41217280 is 8271214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 40551424 = 816^2 + 6368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41217283) 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 7 ways as a sum of consecutive naturals, for example, 15402 + ... + 17878.

It is an arithmetic number, because the mean of its divisors is an integer number (1477301).

Almost surely, 2^41217280 is an apocalyptic number.

41217280 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 41217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53182836).

41217280 is an abundant number, since it is smaller than the sum of its proper divisors (65148392).

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

41217280 is a wasteful number, since it uses less digits than its factorization.

41217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 41217280 is about 6420.0685354597. The cubic root of 41217280 is about 345.4297801436.

Adding to 41217280 its reverse (8271214), we get a palindrome (49488494).

The spelling of 41217280 in words is "forty-one million, two hundred seventeen thousand, two hundred eighty".