40582944 has 144 divisors (see below), whose sum is σ = 127135008. Its totient is φ = 12690432.

The previous prime is 40582943. The next prime is 40582951. The reversal of 40582944 is 44928504.

40582944 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40582899 and 40582908.

It is not an unprimeable number, because it can be changed into a prime (40582943) by changing a digit.

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, 132039 + ... + 132345.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 2^40582944 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 40582944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567504).

40582944 is an abundant number, since it is smaller than the sum of its proper divisors (86552064).

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

40582944 is a wasteful number, since it uses less digits than its factorization.

40582944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 40582944 is about 6370.4743936382. The cubic root of 40582944 is about 343.6485503821.

The spelling of 40582944 in words is "forty million, five hundred eighty-two thousand, nine hundred forty-four".