32301432242420 has 192 divisors, whose sum is σ = 78146149939200. Its totient is φ = 11091825216000.

The previous prime is 32301432242419. The next prime is 32301432242441. The reversal of 32301432242420 is 2424223410323.

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 63 ways as a sum of consecutive naturals, for example, 5373717215 + ... + 5373723225.

It is an arithmetic number, because the mean of its divisors is an integer number (407011197600).

Almost surely, 2^{32301432242420} 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 32301432242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39073074969600).

32301432242420 is an abundant number, since it is smaller than the sum of its proper divisors (45844717696780).

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

32301432242420 is a wasteful number, since it uses less digits than its factorization.

32301432242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 32301432242420 its reverse (2424223410323), we get a palindrome (34725655652743).

The spelling of 32301432242420 in words is "thirty-two trillion, three hundred one billion, four hundred thirty-two million, two hundred forty-two thousand, four hundred twenty".