41963040 has 288 divisors, whose sum is σ = 171714816. Its totient is φ = 9123840.

The previous prime is 41963011. The next prime is 41963071. The reversal of 41963040 is 4036914.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 41962995 and 41963013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231750 + ... + 231930.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^41963040 is an apocalyptic number.

41963040 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 41963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

41963040 is an abundant number, since it is smaller than the sum of its proper divisors (129751776).

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

41963040 is a wasteful number, since it uses less digits than its factorization.

41963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 41963040 is about 6477.8885448887. Note that the first 3 decimals coincide. The cubic root of 41963040 is about 347.5006711165.

Adding to 41963040 its reverse (4036914), we get a palindrome (45999954).

The spelling of 41963040 in words is "forty-one million, nine hundred sixty-three thousand, forty".