404304542243320 has 256 divisors, whose sum is σ = 991001449152000. Its totient is φ = 147829838413824.

The previous prime is 404304542243317. The next prime is 404304542243333. The reversal of 404304542243320 is 23342245403404.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35845773441 + ... + 35845784719.

It is an arithmetic number, because the mean of its divisors is an integer number (3871099410750).

Almost surely, 2^{404304542243320} is an apocalyptic number.

404304542243320 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 404304542243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495500724576000).

404304542243320 is an abundant number, since it is smaller than the sum of its proper divisors (586696906908680).

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

404304542243320 is a wasteful number, since it uses less digits than its factorization.

404304542243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13770 (or 13766 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 40.

Adding to 404304542243320 its reverse (23342245403404), we get a palindrome (427646787646724).

The spelling of 404304542243320 in words is "four hundred four trillion, three hundred four billion, five hundred forty-two million, two hundred forty-three thousand, three hundred twenty".