404000808000404 has 36 divisors (see below), whose sum is σ = 714143549704284. Its totient is φ = 199980199980000.

The previous prime is 404000808000401. The next prime is 404000808000409.

It is a happy number.

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.

404000808000404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 311024968810000 + 92975839190404 = 17635900^2 + 9642398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404000808000401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40804035854 + ... + 40804045754.

It is an arithmetic number, because the mean of its divisors is an integer number (19837320825119).

Almost surely, 2^{404000808000404} is an apocalyptic number.

It is an amenable number.

404000808000404 is a deficient number, since it is larger than the sum of its proper divisors (310142741703880).

404000808000404 is an frugal number, since it uses more digits than its factorization.

404000808000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20109 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 40400080 and 8000404, that added together give a palindrome (48400484).

The spelling of 404000808000404 in words is "four hundred four trillion, eight hundred eight million, four hundred four", and thus it is an aban number.