41561000 has 128 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 14572800.

The previous prime is 41560991. The next prime is 41561011. The reversal of 41561000 is 16514.

It is a happy number.

41561000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41561000.

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 31 ways as a sum of consecutive naturals, for example, 298931 + ... + 299069.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^41561000 is an apocalyptic number.

41561000 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 41561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

41561000 is an abundant number, since it is smaller than the sum of its proper divisors (68512600).

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

41561000 is a wasteful number, since it uses less digits than its factorization.

41561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 41561000 is about 6446.7821430540. The cubic root of 41561000 is about 346.3873283931.

Adding to 41561000 its reverse (16514), we get a palindrome (41577514).

The spelling of 41561000 in words is "forty-one million, five hundred sixty-one thousand".