41588640 has 120 divisors (see below), whose sum is σ = 146818980. Its totient is φ = 11086848.

The previous prime is 41588627. The next prime is 41588693. The reversal of 41588640 is 4688514.

41588640 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 8 + 640 = 666.

41588640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41525136 + 63504 = 6444^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×41588640² = 3459229954099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41588595 and 41588604.

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 19 ways as a sum of consecutive naturals, for example, 11356 + ... + 14564.

Almost surely, 2^41588640 is an apocalyptic number.

41588640 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 41588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73409490).

41588640 is an abundant number, since it is smaller than the sum of its proper divisors (105230340).

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

41588640 is a wasteful number, since it uses less digits than its factorization.

41588640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 41588640 is about 6448.9254918940. The cubic root of 41588640 is about 346.4640992770.

The spelling of 41588640 in words is "forty-one million, five hundred eighty-eight thousand, six hundred forty".