41301920 has 96 divisors (see below), whose sum is σ = 110025216. Its totient is φ = 14515200.

The previous prime is 41301919. The next prime is 41301929. The reversal of 41301920 is 2910314.

41301920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41301892 and 41301901.

It is not an unprimeable number, because it can be changed into a prime (41301929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54182 + ... + 54938.

It is an arithmetic number, because the mean of its divisors is an integer number (1146096).

Almost surely, 2^41301920 is an apocalyptic number.

41301920 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 41301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55012608).

41301920 is an abundant number, since it is smaller than the sum of its proper divisors (68723296).

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

41301920 is a wasteful number, since it uses less digits than its factorization.

41301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 41301920 is about 6426.6569847783. The cubic root of 41301920 is about 345.6660660449. Note that the first 3 decimals are identical.

The spelling of 41301920 in words is "forty-one million, three hundred one thousand, nine hundred twenty".