41385344 has 256 divisors, whose sum is σ = 123379200. Its totient is φ = 13271040.

The previous prime is 41385343. The next prime is 41385347. The reversal of 41385344 is 44358314.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41385344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41385343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178167 + ... + 2178185.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^41385344 is an apocalyptic number.

41385344 is a gapful number since it is divisible by the number (44) 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 41385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

41385344 is an abundant number, since it is smaller than the sum of its proper divisors (81993856).

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

41385344 is a wasteful number, since it uses less digits than its factorization.

41385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 41385344 is about 6433.1441768392. The cubic root of 41385344 is about 345.8986416105.

The spelling of 41385344 in words is "forty-one million, three hundred eighty-five thousand, three hundred forty-four".