40882144 has 48 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 19095552.

The previous prime is 40882111. The next prime is 40882169. The reversal of 40882144 is 44128804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121144 + ... + 121480.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2^40882144 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 40882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

40882144 is an abundant number, since it is smaller than the sum of its proper divisors (44975264).

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

40882144 is a wasteful number, since it uses less digits than its factorization.

40882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 40882144 is about 6393.9146068743. The cubic root of 40882144 is about 344.4910060615.

The spelling of 40882144 in words is "forty million, eight hundred eighty-two thousand, one hundred forty-four".