404504688816 has 240 divisors, whose sum is σ = 1201610592000. Its totient is φ = 126672864768.

The previous prime is 404504688811. The next prime is 404504688817. The reversal of 404504688816 is 618886405404.

It is a happy number.

404504688816 is a `hidden beast` number, since 40 + 4 + 50 + 468 + 88 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (404504688811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238083135 + ... + 238084833.

It is an arithmetic number, because the mean of its divisors is an integer number (5006710800).

Almost surely, 2^404504688816 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 404504688816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600805296000).

404504688816 is an abundant number, since it is smaller than the sum of its proper divisors (797105903184).

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

404504688816 is a wasteful number, since it uses less digits than its factorization.

404504688816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 404504688816 in words is "four hundred four billion, five hundred four million, six hundred eighty-eight thousand, eight hundred sixteen".