41546016 has 72 divisors (see below), whose sum is σ = 118948284. Its totient is φ = 13754880.

The previous prime is 41545991. The next prime is 41546039. The reversal of 41546016 is 61064514.

41546016 is a `hidden beast` number, since 4 + 1 + 54 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36723600 + 4822416 = 6060^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51730 + ... + 52526.

Almost surely, 2^41546016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41546016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59474142).

41546016 is an abundant number, since it is smaller than the sum of its proper divisors (77402268).

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

41546016 is a wasteful number, since it uses less digits than its factorization.

41546016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 983 counting only the distinct ones).

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

The square root of 41546016 is about 6445.6199081237. The cubic root of 41546016 is about 346.3456956797.

The spelling of 41546016 in words is "forty-one million, five hundred forty-six thousand, sixteen".