41338480 has 80 divisors (see below), whose sum is σ = 100466784. Its totient is φ = 15805440.

The previous prime is 41338459. The next prime is 41338483. The reversal of 41338480 is 8483314.

41338480 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41338483) 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, 209742 + ... + 209938.

Almost surely, 2^41338480 is an apocalyptic number.

41338480 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 41338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50233392).

41338480 is an abundant number, since it is smaller than the sum of its proper divisors (59128304).

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

41338480 is a wasteful number, since it uses less digits than its factorization.

41338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 41338480 is about 6429.5007582238. The cubic root of 41338480 is about 345.7680292170.

The spelling of 41338480 in words is "forty-one million, three hundred thirty-eight thousand, four hundred eighty".