41105760 has 96 divisors (see below), whose sum is σ = 133993440. Its totient is φ = 10579968.

The previous prime is 41105737. The next prime is 41105837. The reversal of 41105760 is 6750114.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41105760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12444 + ... + 15396.

It is an arithmetic number, because the mean of its divisors is an integer number (1395765).

Almost surely, 2^41105760 is an apocalyptic number.

41105760 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 41105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66996720).

41105760 is an abundant number, since it is smaller than the sum of its proper divisors (92887680).

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

41105760 is a wasteful number, since it uses less digits than its factorization.

41105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 41105760 is about 6411.3773871143. The cubic root of 41105760 is about 345.1179600834.

Adding to 41105760 its reverse (6750114), we get a palindrome (47855874).

It can be divided in two parts, 4110 and 5760, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 41105760 in words is "forty-one million, one hundred five thousand, seven hundred sixty".