41288560 has 80 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 15844608.

The previous prime is 41288551. The next prime is 41288561. The reversal of 41288560 is 6588214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41288561) 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 15 ways as a sum of consecutive naturals, for example, 296971 + ... + 297109.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^41288560 is an apocalyptic number.

41288560 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 41288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

41288560 is an abundant number, since it is smaller than the sum of its proper divisors (58705040).

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

41288560 is a wasteful number, since it uses less digits than its factorization.

41288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 41288560 is about 6425.6174800559. The cubic root of 41288560 is about 345.6287909685.

The spelling of 41288560 in words is "forty-one million, two hundred eighty-eight thousand, five hundred sixty".