41520 has 40 divisors (see below), whose sum is σ = 129456. Its totient is φ = 11008.

The previous prime is 41519. The next prime is 41521. The reversal of 41520 is 2514.

It is an interprime number because it is at equal distance from previous prime (41519) and next prime (41521).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 41496 and 41505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41520.

It is not an unprimeable number, because it can be changed into a prime (41521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 326.

2⁴¹⁵²⁰ is an apocalyptic number.

41520 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 41520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64728).

41520 is an abundant number, since it is smaller than the sum of its proper divisors (87936).

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

41520 is a wasteful number, since it uses less digits than its factorization.

41520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 41520 is about 203.7645700312. The cubic root of 41520 is about 34.6273387013.

It can be divided in two parts, 415 and 20, that added together give a triangular number (435 = T₂₉).

The spelling of 41520 in words is "forty-one thousand, five hundred twenty".