16042133232 has 240 divisors, whose sum is σ = 49747932000. Its totient is φ = 4802789376.

The previous prime is 16042133207. The next prime is 16042133299. The reversal of 16042133232 is 23233124061.

16042133232 is a `hidden beast` number, since 1 + 6 + 0 + 421 + 3 + 3 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16042133196 and 16042133205.

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 47 ways as a sum of consecutive naturals, for example, 6317019 + ... + 6319557.

It is an arithmetic number, because the mean of its divisors is an integer number (207283050).

Almost surely, 2^16042133232 is an apocalyptic number.

16042133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16042133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873966000).

16042133232 is an abundant number, since it is smaller than the sum of its proper divisors (33705798768).

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

16042133232 is a wasteful number, since it uses less digits than its factorization.

16042133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 16042133232 its reverse (23233124061), we get a palindrome (39275257293).

The spelling of 16042133232 in words is "sixteen billion, forty-two million, one hundred thirty-three thousand, two hundred thirty-two".