41182960 has 80 divisors (see below), whose sum is σ = 117867456. Its totient is φ = 13031424.

The previous prime is 41182943. The next prime is 41182979. The reversal of 41182960 is 6928114.

It is a happy number.

41182960 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 an unprimeable number.

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, 4452 + ... + 10108.

Almost surely, 2^41182960 is an apocalyptic number.

41182960 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 41182960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58933728).

41182960 is an abundant number, since it is smaller than the sum of its proper divisors (76684496).

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

41182960 is a wasteful number, since it uses less digits than its factorization.

41182960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 41182960 is about 6417.3951101674. The cubic root of 41182960 is about 345.3338782790. Note that the first 3 decimals are identical.

The spelling of 41182960 in words is "forty-one million, one hundred eighty-two thousand, nine hundred sixty".