41648040 has 192 divisors, whose sum is σ = 161697600. Its totient is φ = 9507456.

The previous prime is 41648039. The next prime is 41648081. The reversal of 41648040 is 4084614.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41647995 and 41648013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52527 + ... + 53313.

It is an arithmetic number, because the mean of its divisors is an integer number (842175).

Almost surely, 2^41648040 is an apocalyptic number.

41648040 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 41648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80848800).

41648040 is an abundant number, since it is smaller than the sum of its proper divisors (120049560).

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

41648040 is a wasteful number, since it uses less digits than its factorization.

41648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41648040 is about 6453.5292669980. The cubic root of 41648040 is about 346.6289694380.

The spelling of 41648040 in words is "forty-one million, six hundred forty-eight thousand, forty".