404350814336 has 128 divisors (see below), whose sum is σ = 951651840000. Its totient is φ = 167467668480.

The previous prime is 404350814293. The next prime is 404350814339. The reversal of 404350814336 is 633418053404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×404350814336³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404350814293 and 404350814302.

It is not an unprimeable number, because it can be changed into a prime (404350814339) by changing a digit.

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, 20516615 + ... + 20536313.

It is an arithmetic number, because the mean of its divisors is an integer number (7434780000).

Almost surely, 2^404350814336 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 404350814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475825920000).

404350814336 is an abundant number, since it is smaller than the sum of its proper divisors (547301025664).

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

404350814336 is a wasteful number, since it uses less digits than its factorization.

404350814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20490 (or 20478 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 404350814336 in words is "four hundred four billion, three hundred fifty million, eight hundred fourteen thousand, three hundred thirty-six".