41838720 has 256 divisors, whose sum is σ = 166855680. Its totient is φ = 8663040.

The previous prime is 41838707. The next prime is 41838721. The reversal of 41838720 is 2783814.

It is a super-3 number, since 3×41838720³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (41838721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147699 + ... + 147981.

It is an arithmetic number, because the mean of its divisors is an integer number (651780).

Almost surely, 2^41838720 is an apocalyptic number.

41838720 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 41838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83427840).

41838720 is an abundant number, since it is smaller than the sum of its proper divisors (125016960).

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

41838720 is a wasteful number, since it uses less digits than its factorization.

41838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 41838720 is about 6468.2857079755. The cubic root of 41838720 is about 347.1571623478.

The spelling of 41838720 in words is "forty-one million, eight hundred thirty-eight thousand, seven hundred twenty".