41305440 has 96 divisors (see below), whose sum is σ = 141958656. Its totient is φ = 10012160.

The previous prime is 41305349. The next prime is 41305471. The reversal of 41305440 is 4450314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×41305440² = 3412278747187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369 + ... + 9191.

It is an arithmetic number, because the mean of its divisors is an integer number (1478736).

Almost surely, 2^41305440 is an apocalyptic number.

41305440 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 41305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70979328).

41305440 is an abundant number, since it is smaller than the sum of its proper divisors (100653216).

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

41305440 is a wasteful number, since it uses less digits than its factorization.

41305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 41305440 is about 6426.9308382773. The cubic root of 41305440 is about 345.6758856852.

Adding to 41305440 its reverse (4450314), we get a palindrome (45755754).

The spelling of 41305440 in words is "forty-one million, three hundred five thousand, four hundred forty".