41282640 has 120 divisors (see below), whose sum is σ = 158466048. Its totient is φ = 9434880.

The previous prime is 41282627. The next prime is 41282663. The reversal of 41282640 is 4628214.

41282640 is a `hidden beast` number, since 4 + 12 + 8 + 2 + 640 = 666.

41282640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 945 + ... + 9135.

Almost surely, 2^41282640 is an apocalyptic number.

41282640 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 41282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233024).

41282640 is an abundant number, since it is smaller than the sum of its proper divisors (117183408).

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

41282640 is a wasteful number, since it uses less digits than its factorization.

41282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8208 counting only the distinct ones).

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

The square root of 41282640 is about 6425.1568074250. The cubic root of 41282640 is about 345.6122712978.

The spelling of 41282640 in words is "forty-one million, two hundred eighty-two thousand, six hundred forty".