404334112343304 has 256 divisors, whose sum is σ = 1189079452673280. Its totient is φ = 112955329105920.

The previous prime is 404334112343243. The next prime is 404334112343339. The reversal of 404334112343304 is 403343211433404.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9395013274 + ... + 9395056310.

It is an arithmetic number, because the mean of its divisors is an integer number (4644841612005).

Almost surely, 2^{404334112343304} is an apocalyptic number.

404334112343304 is a gapful number since it is divisible by the number (44) 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 404334112343304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594539726336640).

404334112343304 is an abundant number, since it is smaller than the sum of its proper divisors (784745340329976).

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

404334112343304 is a wasteful number, since it uses less digits than its factorization.

404334112343304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46520 (or 46516 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 404334112343304 its reverse (403343211433404), we get a palindrome (807677323776708).

The spelling of 404334112343304 in words is "four hundred four trillion, three hundred thirty-four billion, one hundred twelve million, three hundred forty-three thousand, three hundred four".