41920 has 28 divisors (see below), whose sum is σ = 100584. Its totient is φ = 16640.

The previous prime is 41911. The next prime is 41927. The reversal of 41920 is 2914.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41894 and 41903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255 + ... + 385.

2⁴¹⁹²⁰ is an apocalyptic number.

41920 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 41920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50292).

41920 is an abundant number, since it is smaller than the sum of its proper divisors (58664).

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

41920 is a wasteful number, since it uses less digits than its factorization.

41920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 41920 is about 204.7437422731. The cubic root of 41920 is about 34.7381824109.

It can be divided in two parts, 41 and 920, that added together give a square (961 = 31²).

The spelling of 41920 in words is "forty-one thousand, nine hundred twenty".