41382880 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 12894720.

The previous prime is 41382863. The next prime is 41382881. The reversal of 41382880 is 8828314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41382881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10641 + ... + 13999.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^41382880 is an apocalyptic number.

41382880 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 41382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

41382880 is an abundant number, since it is smaller than the sum of its proper divisors (80544800).

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

41382880 is a wasteful number, since it uses less digits than its factorization.

41382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 41382880 is about 6432.9526657671. The cubic root of 41382880 is about 345.8917767715.

The spelling of 41382880 in words is "forty-one million, three hundred eighty-two thousand, eight hundred eighty".