404334606433404 has 48 divisors (see below), whose sum is σ = 945248581944576. Its totient is φ = 134521117027200.

The previous prime is 404334606433403. The next prime is 404334606433409.

404334606433404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404334606433403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386449 + ... + 28439735.

It is an arithmetic number, because the mean of its divisors is an integer number (19692678790512).

Almost surely, 2^{404334606433404} is an apocalyptic number.

It is an amenable number.

404334606433404 is an abundant number, since it is smaller than the sum of its proper divisors (540913975511172).

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

404334606433404 is a wasteful number, since it uses less digits than its factorization.

404334606433404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28055586 (or 28055584 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

It can be divided in two parts, 40433460 and 6433404, that added together give a palindrome (46866864).

The spelling of 404334606433404 in words is "four hundred four trillion, three hundred thirty-four billion, six hundred six million, four hundred thirty-three thousand, four hundred four".