40682128 has 40 divisors (see below), whose sum is σ = 83476800. Its totient is φ = 19173504.

The previous prime is 40682123. The next prime is 40682143. The reversal of 40682128 is 82128604.

It is a self number, because there is not a number n which added to its sum of digits gives 40682128.

It is not an unprimeable number, because it can be changed into a prime (40682123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18933 + ... + 20971.

It is an arithmetic number, because the mean of its divisors is an integer number (2086920).

Almost surely, 2^40682128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40682128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41738400).

40682128 is an abundant number, since it is smaller than the sum of its proper divisors (42794672).

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

40682128 is a wasteful number, since it uses less digits than its factorization.

40682128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 40682128 is about 6378.2543066265. The cubic root of 40682128 is about 343.9282796217.

The spelling of 40682128 in words is "forty million, six hundred eighty-two thousand, one hundred twenty-eight".