41146560 has 336 divisors, whose sum is σ = 175296576. Its totient is φ = 8626176.

The previous prime is 41146537. The next prime is 41146583. The reversal of 41146560 is 6564114.

41146560 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41146537) and next prime (41146583).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262002 + ... + 262158.

It is an arithmetic number, because the mean of its divisors is an integer number (521716).

Almost surely, 2^41146560 is an apocalyptic number.

41146560 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 41146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87648288).

41146560 is an abundant number, since it is smaller than the sum of its proper divisors (134150016).

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

41146560 is a wasteful number, since it uses less digits than its factorization.

41146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

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

The square root of 41146560 is about 6414.5584415453. The cubic root of 41146560 is about 345.2321059407.

It can be divided in two parts, 411 and 46560, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 41146560 in words is "forty-one million, one hundred forty-six thousand, five hundred sixty".