41479968 has 48 divisors (see below), whose sum is σ = 110527200. Its totient is φ = 13618176.

The previous prime is 41479957. The next prime is 41479969. The reversal of 41479968 is 86997414.

41479968 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (41479969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3208 + ... + 9656.

It is an arithmetic number, because the mean of its divisors is an integer number (2302650).

Almost surely, 2^41479968 is an apocalyptic number.

41479968 is a gapful number since it is divisible by the number (48) 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 41479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55263600).

41479968 is an abundant number, since it is smaller than the sum of its proper divisors (69047232).

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

41479968 is a wasteful number, since it uses less digits than its factorization.

41479968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6521 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 41479968 is about 6440.4943909610. The cubic root of 41479968 is about 346.1620633643.

The spelling of 41479968 in words is "forty-one million, four hundred seventy-nine thousand, nine hundred sixty-eight".