404433112032 has 72 divisors (see below), whose sum is σ = 1150227233064. Its totient is φ = 134796904704.

The previous prime is 404433112009. The next prime is 404433112067. The reversal of 404433112032 is 230211334404.

404433112032 is a `hidden beast` number, since 4 + 0 + 443 + 3 + 11 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×404433112032² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404433111987 and 404433112005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2884383 + ... + 3021345.

It is an arithmetic number, because the mean of its divisors is an integer number (15975378237).

Almost surely, 2^404433112032 is an apocalyptic number.

It is an amenable number.

404433112032 is an abundant number, since it is smaller than the sum of its proper divisors (745794121032).

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

404433112032 is a wasteful number, since it uses less digits than its factorization.

404433112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147232 (or 147221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 404433112032 its reverse (230211334404), we get a palindrome (634644446436).

The spelling of 404433112032 in words is "four hundred four billion, four hundred thirty-three million, one hundred twelve thousand, thirty-two".