41857920 has 288 divisors, whose sum is σ = 160154280. Its totient is φ = 10063872.

The previous prime is 41857919. The next prime is 41857943. The reversal of 41857920 is 2975814.

41857920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 973419 + ... + 973461.

Almost surely, 2^41857920 is an apocalyptic number.

41857920 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 41857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80077140).

41857920 is an abundant number, since it is smaller than the sum of its proper divisors (118296360).

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

41857920 is a wasteful number, since it uses less digits than its factorization.

41857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 41857920 is about 6469.7697022382. The cubic root of 41857920 is about 347.2102582853.

The spelling of 41857920 in words is "forty-one million, eight hundred fifty-seven thousand, nine hundred twenty".