201432331414000 has 40 divisors (see below), whose sum is σ = 487063377363888. Its totient is φ = 80572932564800.

The previous prime is 201432331413961. The next prime is 201432331414019. The reversal of 201432331414000 is 414133234102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 201432331414000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50358080854 + ... + 50358084853.

Almost surely, 2^{201432331414000} is an apocalyptic number.

201432331414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201432331414000 is an abundant number, since it is smaller than the sum of its proper divisors (285631045949888).

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

201432331414000 is a wasteful number, since it uses less digits than its factorization.

201432331414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100716165730 (or 100716165714 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 201432331414000 its reverse (414133234102), we get a palindrome (201846464648102).

The spelling of 201432331414000 in words is "two hundred one trillion, four hundred thirty-two billion, three hundred thirty-one million, four hundred fourteen thousand".