40544064 has 196 divisors, whose sum is σ = 133258560. Its totient is φ = 12130560.

The previous prime is 40544057. The next prime is 40544069. The reversal of 40544064 is 46044504.

It is a super-2 number, since 2×40544064² = 3287642251272192, which contains 22 as substring.

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 (40544069) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 513177 + ... + 513255.

Almost surely, 2^40544064 is an apocalyptic number.

40544064 is a gapful number since it is divisible by the number (44) 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 40544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66629280).

40544064 is an abundant number, since it is smaller than the sum of its proper divisors (92714496).

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

40544064 is an equidigital number, since it uses as much as digits as its factorization.

40544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40544064 is about 6367.4220843289. The cubic root of 40544064 is about 343.5387725346.

Adding to 40544064 its reverse (46044504), we get a palindrome (86588568).

It can be divided in two parts, 405440 and 64, that added together give a palindrome (405504).

The spelling of 40544064 in words is "forty million, five hundred forty-four thousand, sixty-four".