41542560 has 144 divisors (see below), whose sum is σ = 150191496. Its totient is φ = 10420224.

The previous prime is 41542559. The next prime is 41542583. The reversal of 41542560 is 6524514.

41542560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 17424 = 6444^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 23632 + ... + 25328.

Almost surely, 2^41542560 is an apocalyptic number.

41542560 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 41542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75095748).

41542560 is an abundant number, since it is smaller than the sum of its proper divisors (108648936).

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

41542560 is a wasteful number, since it uses less digits than its factorization.

41542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 41542560 is about 6445.3518135165. The cubic root of 41542560 is about 346.3360918393.

It can be divided in two parts, 4 and 1542560, that added together give a square (1542564 = 1242²).

The spelling of 41542560 in words is "forty-one million, five hundred forty-two thousand, five hundred sixty".