404313004232004 has 192 divisors, whose sum is σ = 1100046090479616. Its totient is φ = 113194701075456.

The previous prime is 404313004231993. The next prime is 404313004232023. The reversal of 404313004232004 is 400232400313404.

It is a happy number.

It is a super-3 number, since 3×404313004232004³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8536450027 + ... + 8536497389.

It is an arithmetic number, because the mean of its divisors is an integer number (5729406721248).

Almost surely, 2^{404313004232004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404313004232004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550023045239808).

404313004232004 is an abundant number, since it is smaller than the sum of its proper divisors (695733086247612).

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

404313004232004 is a wasteful number, since it uses less digits than its factorization.

404313004232004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56474 (or 56472 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 404313004232004 its reverse (400232400313404), we get a palindrome (804545404545408).

The spelling of 404313004232004 in words is "four hundred four trillion, three hundred thirteen billion, four million, two hundred thirty-two thousand, four".