404320110320 has 160 divisors (see below), whose sum is σ = 1099162982400. Its totient is φ = 135456841728.

The previous prime is 404320110251. The next prime is 404320110329. The reversal of 404320110320 is 23011023404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404320110292 and 404320110301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404320110329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4244171 + ... + 4338389.

It is an arithmetic number, because the mean of its divisors is an integer number (6869768640).

Almost surely, 2^404320110320 is an apocalyptic number.

404320110320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404320110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549581491200).

404320110320 is an abundant number, since it is smaller than the sum of its proper divisors (694842872080).

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

404320110320 is a wasteful number, since it uses less digits than its factorization.

404320110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94415 (or 94409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 404320110320 its reverse (23011023404), we get a palindrome (427331133724).

The spelling of 404320110320 in words is "four hundred four billion, three hundred twenty million, one hundred ten thousand, three hundred twenty".