41381680 has 40 divisors (see below), whose sum is σ = 96993792. Its totient is φ = 16418304.

The previous prime is 41381671. The next prime is 41381731. The reversal of 41381680 is 8618314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 8124 + ... + 12196.

Almost surely, 2^41381680 is an apocalyptic number.

41381680 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 41381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48496896).

41381680 is an abundant number, since it is smaller than the sum of its proper divisors (55612112).

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

41381680 is a wasteful number, since it uses less digits than its factorization.

41381680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 41381680 is about 6432.8593953234. The cubic root of 41381680 is about 345.8884334071. Note that the first 3 decimals are identical.

Adding to 41381680 its reverse (8618314), we get a palindrome (49999994).

The spelling of 41381680 in words is "forty-one million, three hundred eighty-one thousand, six hundred eighty".