32414340314000 has 80 divisors (see below), whose sum is σ = 78380547073920. Its totient is φ = 12965294076800.

The previous prime is 32414340313961. The next prime is 32414340314003. The reversal of 32414340314000 is 41304341423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (32414340314003) 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, 61897259 + ... + 62418741.

It is an arithmetic number, because the mean of its divisors is an integer number (979756838424).

Almost surely, 2^{32414340314000} is an apocalyptic number.

It is an amenable number.

32414340314000 is an abundant number, since it is smaller than the sum of its proper divisors (45966206759920).

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

32414340314000 is a wasteful number, since it uses less digits than its factorization.

32414340314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552585 (or 552569 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 32414340314000 its reverse (41304341423), we get a palindrome (32455644655423).

The spelling of 32414340314000 in words is "thirty-two trillion, four hundred fourteen billion, three hundred forty million, three hundred fourteen thousand".