41416560 has 240 divisors, whose sum is σ = 151115328. Its totient is φ = 10137600.

The previous prime is 41416559. The next prime is 41416603. The reversal of 41416560 is 6561414.

41416560 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678930 + ... + 678990.

Almost surely, 2^41416560 is an apocalyptic number.

41416560 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 41416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557664).

41416560 is an abundant number, since it is smaller than the sum of its proper divisors (109698768).

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

41416560 is a wasteful number, since it uses less digits than its factorization.

41416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 41416560 is about 6435.5699048336. The cubic root of 41416560 is about 345.9855875138.

Adding to 41416560 its reverse (6561414), we get a palindrome (47977974).

It can be divided in two parts, 4141 and 6560, that added together give a palindrome (10701).

The spelling of 41416560 in words is "forty-one million, four hundred sixteen thousand, five hundred sixty".