32320224142140 has 192 divisors, whose sum is σ = 108135377602560. Its totient is φ = 7120024719360.

The previous prime is 32320224142139. The next prime is 32320224142153. The reversal of 32320224142140 is 4124142202323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32320224142098 and 32320224142107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49339972 + ... + 49990731.

It is an arithmetic number, because the mean of its divisors is an integer number (563205091680).

Almost surely, 2^{32320224142140} is an apocalyptic number.

32320224142140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32320224142140 is an abundant number, since it is smaller than the sum of its proper divisors (75815153460420).

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

32320224142140 is a wasteful number, since it uses less digits than its factorization.

32320224142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99330772 (or 99330770 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 32320224142140 its reverse (4124142202323), we get a palindrome (36444366344463).

The spelling of 32320224142140 in words is "thirty-two trillion, three hundred twenty billion, two hundred twenty-four million, one hundred forty-two thousand, one hundred forty".