41013984 has 48 divisors (see below), whose sum is σ = 117452160. Its totient is φ = 12428160.

The previous prime is 41013971. The next prime is 41014007. The reversal of 41013984 is 48931014.

It is a happy number.

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

It is a congruent number.

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, 18364 + ... + 20475.

It is an arithmetic number, because the mean of its divisors is an integer number (2446920).

Almost surely, 2^41013984 is an apocalyptic number.

41013984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41013984 is an abundant number, since it is smaller than the sum of its proper divisors (76438176).

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

41013984 is a wasteful number, since it uses less digits than its factorization.

41013984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38863 (or 38855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 41013984 is about 6404.2161112817. The cubic root of 41013984 is about 344.8609227283.

Adding to 41013984 its reverse (48931014), we get a palindrome (89944998).

The spelling of 41013984 in words is "forty-one million, thirteen thousand, nine hundred eighty-four".