30321130444432 has 80 divisors (see below), whose sum is σ = 62373892873392. Its totient is φ = 14229562982400.

The previous prime is 30321130444427. The next prime is 30321130444439. The reversal of 30321130444432 is 23444403112303.

It can be written as a sum of positive squares in 8 ways, for example, as 7745556551056 + 22575573893376 = 2783084^2 + 4751376^2 .

It is a super-2 number, since 2×30321130444432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (30321130444439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455560468 + ... + 455627020.

Almost surely, 2^{30321130444432} 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 30321130444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31186946436696).

30321130444432 is an abundant number, since it is smaller than the sum of its proper divisors (32052762428960).

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

30321130444432 is a wasteful number, since it uses less digits than its factorization.

30321130444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71156 (or 71150 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 30321130444432 its reverse (23444403112303), we get a palindrome (53765533556735).

The spelling of 30321130444432 in words is "thirty trillion, three hundred twenty-one billion, one hundred thirty million, four hundred forty-four thousand, four hundred thirty-two".