41642640 has 160 divisors (see below), whose sum is σ = 154573440. Its totient is φ = 10243584.

The previous prime is 41642633. The next prime is 41642651. The reversal of 41642640 is 4624614.

41642640 is a `hidden beast` number, since 4 + 16 + 4 + 2 + 640 = 666.

41642640 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 (27).

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 31 ways as a sum of consecutive naturals, for example, 27339 + ... + 28821.

It is an arithmetic number, because the mean of its divisors is an integer number (966084).

Almost surely, 2^41642640 is an apocalyptic number.

41642640 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 41642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77286720).

41642640 is an abundant number, since it is smaller than the sum of its proper divisors (112930800).

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

41642640 is a wasteful number, since it uses less digits than its factorization.

41642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 41642640 is about 6453.1108777085. The cubic root of 41642640 is about 346.6139877219.

The spelling of 41642640 in words is "forty-one million, six hundred forty-two thousand, six hundred forty".