32140120054320 has 480 divisors, whose sum is σ = 111805834605504. Its totient is φ = 8267741798400.

The previous prime is 32140120054303. The next prime is 32140120054373. The reversal of 32140120054320 is 2345002104123.

32140120054320 is a `hidden beast` number, since 3 + 2 + 1 + 401 + 200 + 54 + 3 + 2 + 0 = 666.

32140120054320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32140120054320² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1828107930 + ... + 1828125510.

Almost surely, 2^{32140120054320} is an apocalyptic number.

32140120054320 is a gapful number since it is divisible by the number (30) 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 32140120054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55902917302752).

32140120054320 is an abundant number, since it is smaller than the sum of its proper divisors (79665714551184).

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

32140120054320 is a wasteful number, since it uses less digits than its factorization.

32140120054320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18221 (or 18212 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32140120054320 its reverse (2345002104123), we get a palindrome (34485122158443).

The spelling of 32140120054320 in words is "thirty-two trillion, one hundred forty billion, one hundred twenty million, fifty-four thousand, three hundred twenty".