41405760 has 168 divisors, whose sum is σ = 155484576. Its totient is φ = 10030080.

The previous prime is 41405753. The next prime is 41405779. The reversal of 41405760 is 6750414.

41405760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41405760² = 3428873922355200, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31027 + ... + 32333.

Almost surely, 2^41405760 is an apocalyptic number.

41405760 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 41405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77742288).

41405760 is an abundant number, since it is smaller than the sum of its proper divisors (114078816).

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

41405760 is a wasteful number, since it uses less digits than its factorization.

41405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 41405760 is about 6434.7307635984. The cubic root of 41405760 is about 345.9555112255.

The spelling of 41405760 in words is "forty-one million, four hundred five thousand, seven hundred sixty".