404796834816 has 176 divisors, whose sum is σ = 1179990497088. Its totient is φ = 122355712000.

The previous prime is 404796834791. The next prime is 404796834839. The reversal of 404796834816 is 618438697404.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 404796834816.

It is an unprimeable number.

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, 13535656 + ... + 13565528.

Almost surely, 2^404796834816 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 404796834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589995248544).

404796834816 is an abundant number, since it is smaller than the sum of its proper divisors (775193662272).

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

404796834816 is a wasteful number, since it uses less digits than its factorization.

404796834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30308 (or 30290 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 404796834816 in words is "four hundred four billion, seven hundred ninety-six million, eight hundred thirty-four thousand, eight hundred sixteen".