40446064404 has 36 divisors (see below), whose sum is σ = 105764136660. Its totient is φ = 13017123840.

The previous prime is 40446064391. The next prime is 40446064447.

40446064404 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 6 + 0 + 644 + 0 + 4 = 666.

40446064404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6814172304 + 33631892100 = 82548^2 + 183390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19369677 + ... + 19371764.

It is an arithmetic number, because the mean of its divisors is an integer number (2937892685).

Almost surely, 2^40446064404 is an apocalyptic number.

It is an amenable number.

40446064404 is an abundant number, since it is smaller than the sum of its proper divisors (65318072256).

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

40446064404 is a wasteful number, since it uses less digits than its factorization.

40446064404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38741480 (or 38741475 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 404460 and 64404, that added together give a palindrome (468864).

The spelling of 40446064404 in words is "forty billion, four hundred forty-six million, sixty-four thousand, four hundred four".