41382816 has 48 divisors (see below), whose sum is σ = 108972864. Its totient is φ = 13750784.

The previous prime is 41382793. The next prime is 41382829. The reversal of 41382816 is 61828314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47860 + ... + 48716.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 2^41382816 is an apocalyptic number.

It is an amenable number.

41382816 is an abundant number, since it is smaller than the sum of its proper divisors (67590048).

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

41382816 is a wasteful number, since it uses less digits than its factorization.

41382816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 41382816 is about 6432.9476913776. The cubic root of 41382816 is about 345.8915984604.

The spelling of 41382816 in words is "forty-one million, three hundred eighty-two thousand, eight hundred sixteen".