40882688 has 160 divisors (see below), whose sum is σ = 109600128. Its totient is φ = 14745600.

The previous prime is 40882631. The next prime is 40882691. The reversal of 40882688 is 88628804.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670178 + ... + 670238.

Almost surely, 2^40882688 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 40882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064).

40882688 is an abundant number, since it is smaller than the sum of its proper divisors (68717440).

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

40882688 is a wasteful number, since it uses less digits than its factorization.

40882688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 40882688 is about 6393.9571471820. The cubic root of 40882688 is about 344.4925340495.

It can be divided in two parts, 4088 and 2688, that added together give a palindrome (6776).

The spelling of 40882688 in words is "forty million, eight hundred eighty-two thousand, six hundred eighty-eight".