41611680 has 288 divisors, whose sum is σ = 161336448. Its totient is φ = 9676800.

The previous prime is 41611673. The next prime is 41611693. The reversal of 41611680 is 8611614.

41611680 is a `hidden beast` number, since 41 + 611 + 6 + 8 + 0 = 666.

41611680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586045 + ... + 586115.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^41611680 is an apocalyptic number.

41611680 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 41611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

41611680 is an abundant number, since it is smaller than the sum of its proper divisors (119724768).

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

41611680 is a wasteful number, since it uses less digits than its factorization.

41611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41611680 is about 6450.7115886544. The cubic root of 41611680 is about 346.5280675402.

The spelling of 41611680 in words is "forty-one million, six hundred eleven thousand, six hundred eighty".