10321042032 has 280 divisors, whose sum is σ = 34700529024. Its totient is φ = 2911427712.

The previous prime is 10321042027. The next prime is 10321042051. The reversal of 10321042032 is 23024012301.

10321042032 is a `hidden beast` number, since 1 + 0 + 3 + 210 + 420 + 32 = 666.

10321042032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10321041996 and 10321042014.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 6776023 + ... + 6777545.

Almost surely, 2^10321042032 is an apocalyptic number.

10321042032 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 10321042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350264512).

10321042032 is an abundant number, since it is smaller than the sum of its proper divisors (24379486992).

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

10321042032 is an equidigital number, since it uses as much as digits as its factorization.

10321042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10321042032 its reverse (23024012301), we get a palindrome (33345054333).

The spelling of 10321042032 in words is "ten billion, three hundred twenty-one million, forty-two thousand, thirty-two".