404114422432 has 288 divisors, whose sum is σ = 992616508800. Its totient is φ = 158185488384.

The previous prime is 404114422409. The next prime is 404114422477. The reversal of 404114422432 is 234224411404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 404114422394 and 404114422403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700371328 + ... + 700371904.

It is an arithmetic number, because the mean of its divisors is an integer number (3446585100).

Almost surely, 2^404114422432 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 404114422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496308254400).

404114422432 is an abundant number, since it is smaller than the sum of its proper divisors (588502086368).

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

404114422432 is a wasteful number, since it uses less digits than its factorization.

404114422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 404114422432 its reverse (234224411404), we get a palindrome (638338833836).

The spelling of 404114422432 in words is "four hundred four billion, one hundred fourteen million, four hundred twenty-two thousand, four hundred thirty-two".