404424304004004 has 48 divisors (see below), whose sum is σ = 999343623051648. Its totient is φ = 126855648511488.

The previous prime is 404424304004003. The next prime is 404424304004029. The reversal of 404424304004004 is 400400403424404.

It is not an unprimeable number, because it can be changed into a prime (404424304004003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175135327 + ... + 177429510.

It is an arithmetic number, because the mean of its divisors is an integer number (20819658813576).

Almost surely, 2^{404424304004004} is an apocalyptic number.

It is an amenable number.

404424304004004 is an abundant number, since it is smaller than the sum of its proper divisors (594919319047644).

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

404424304004004 is a wasteful number, since it uses less digits than its factorization.

404424304004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352570484 (or 352570482 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 404424304004004 its reverse (400400403424404), we get a palindrome (804824707428408).

The spelling of 404424304004004 in words is "four hundred four trillion, four hundred twenty-four billion, three hundred four million, four thousand, four".