41184640 has 128 divisors (see below), whose sum is σ = 116769600. Its totient is φ = 13590528.

The previous prime is 41184631. The next prime is 41184641. The reversal of 41184640 is 4648114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 41184599 and 41184608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41184641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129762 + ... + 130078.

Almost surely, 2^41184640 is an apocalyptic number.

41184640 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 41184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58384800).

41184640 is an abundant number, since it is smaller than the sum of its proper divisors (75584960).

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

41184640 is a wasteful number, since it uses less digits than its factorization.

41184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 41184640 is about 6417.5260030638. The cubic root of 41184640 is about 345.3385740158.

The spelling of 41184640 in words is "forty-one million, one hundred eighty-four thousand, six hundred forty".