41127680 has 144 divisors (see below), whose sum is σ = 113025024. Its totient is φ = 14192640.

The previous prime is 41127659. The next prime is 41127727. The reversal of 41127680 is 8672114.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 323777 + ... + 323903.

It is an arithmetic number, because the mean of its divisors is an integer number (784896).

Almost surely, 2^41127680 is an apocalyptic number.

41127680 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 41127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56512512).

41127680 is an abundant number, since it is smaller than the sum of its proper divisors (71897344).

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

41127680 is a wasteful number, since it uses less digits than its factorization.

41127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 41127680 is about 6413.0866203413. The cubic root of 41127680 is about 345.1792948889.

Adding to 41127680 its reverse (8672114), we get a palindrome (49799794).

It can be divided in two parts, 41 and 127680, that added together give a palindrome (127721).

The spelling of 41127680 in words is "forty-one million, one hundred twenty-seven thousand, six hundred eighty".