404034320032 has 96 divisors (see below), whose sum is σ = 929093155200. Its totient is φ = 172884418560.

The previous prime is 404034319993. The next prime is 404034320033. The reversal of 404034320032 is 230023430404.

It is a junction number, because it is equal to n+sod(n) for n = 404034319979 and 404034320006.

It is not an unprimeable number, because it can be changed into a prime (404034320033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7006903 + ... + 7064329.

It is an arithmetic number, because the mean of its divisors is an integer number (9678053700).

Almost surely, 2^404034320032 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 404034320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464546577600).

404034320032 is an abundant number, since it is smaller than the sum of its proper divisors (525058835168).

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

404034320032 is an equidigital number, since it uses as much as digits as its factorization.

404034320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58099 (or 58077 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 404034320032 its reverse (230023430404), we get a palindrome (634057750436).

The spelling of 404034320032 in words is "four hundred four billion, thirty-four million, three hundred twenty thousand, thirty-two".