404431134404 has 48 divisors (see below), whose sum is σ = 781287002496. Its totient is φ = 181651718400.

The previous prime is 404431134397. The next prime is 404431134407.

404431134404 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (404431134407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992464 + ... + 2186040.

It is an arithmetic number, because the mean of its divisors is an integer number (16276812552).

Almost surely, 2^404431134404 is an apocalyptic number.

404431134404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404431134404 is a deficient number, since it is larger than the sum of its proper divisors (376855868092).

404431134404 is a wasteful number, since it uses less digits than its factorization.

404431134404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194156 (or 194154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 404431 and 134404, that added together give a palindrome (538835).

The spelling of 404431134404 in words is "four hundred four billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred four".