40644128 has 90 divisors (see below), whose sum is σ = 97584039. Its totient is φ = 16661568.

The previous prime is 40644119. The next prime is 40644133. The reversal of 40644128 is 82144604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 20322064 + 20322064 = 4508^2 + 4508^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4508.

It is a self number, because there is not a number n which added to its sum of digits gives 40644128.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1767125 + ... + 1767147.

Almost surely, 2^40644128 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 40644128

40644128 is an abundant number, since it is smaller than the sum of its proper divisors (56939911).

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

40644128 is an frugal number, since it uses more digits than its factorization.

40644128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 40644128 is about 6375.2747391779. The cubic root of 40644128 is about 343.8211617742.

It can be divided in two parts, 4064 and 4128, that added together give a 13-th power (8192 = 2¹³).

The spelling of 40644128 in words is "forty million, six hundred forty-four thousand, one hundred twenty-eight".