40804128 has 96 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 13413888.

The previous prime is 40804121. The next prime is 40804151. The reversal of 40804128 is 82140804.

40804128 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40804121) 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 15 ways as a sum of consecutive naturals, for example, 71428 + ... + 71996.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^40804128 is an apocalyptic number.

40804128 is a gapful number since it is divisible by the number (48) 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 40804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

40804128 is an abundant number, since it is smaller than the sum of its proper divisors (79853472).

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

40804128 is a wasteful number, since it uses less digits than its factorization.

40804128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40804128 is about 6387.8108926298. The cubic root of 40804128 is about 344.2717340952.

The spelling of 40804128 in words is "forty million, eight hundred four thousand, one hundred twenty-eight".