41461164 has 72 divisors (see below), whose sum is σ = 114031008. Its totient is φ = 12648960.

The previous prime is 41461139. The next prime is 41461171. The reversal of 41461164 is 46116414.

41461164 is a `hidden beast` number, since 41 + 4 + 611 + 6 + 4 = 666.

41461164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 21729 + ... + 23559.

It is an arithmetic number, because the mean of its divisors is an integer number (1583764).

Almost surely, 2^41461164 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 41461164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57015504).

41461164 is an abundant number, since it is smaller than the sum of its proper divisors (72569844).

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

41461164 is a wasteful number, since it uses less digits than its factorization.

41461164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1890 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41461164 is about 6439.0343996596. The cubic root of 41461164 is about 346.1097472255.

Adding to 41461164 its reverse (46116414), we get a palindrome (87577578).

The spelling of 41461164 in words is "forty-one million, four hundred sixty-one thousand, one hundred sixty-four".