41611920 has 320 divisors, whose sum is σ = 164560896. Its totient is φ = 8478720.

The previous prime is 41611901. The next prime is 41611963. The reversal of 41611920 is 2911614.

41611920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 885337 + ... + 885383.

Almost surely, 2^41611920 is an apocalyptic number.

41611920 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 41611920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82280448).

41611920 is an abundant number, since it is smaller than the sum of its proper divisors (122948976).

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

41611920 is a wasteful number, since it uses less digits than its factorization.

41611920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 41611920 is about 6450.7301912264. The cubic root of 41611920 is about 346.5287337520.

The spelling of 41611920 in words is "forty-one million, six hundred eleven thousand, nine hundred twenty".