200201400224000 has 144 divisors (see below), whose sum is σ = 569973387075456. Its totient is φ = 68640480000000.

The previous prime is 200201400223973. The next prime is 200201400224003. The reversal of 200201400224000 is 422004102002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 200201400224000.

It is not an unprimeable number, because it can be changed into a prime (200201400224003) 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, 446654126 + ... + 447102125.

Almost surely, 2^{200201400224000} is an apocalyptic number.

200201400224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201400224000 is an abundant number, since it is smaller than the sum of its proper divisors (369771986851456).

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

200201400224000 is an frugal number, since it uses more digits than its factorization.

200201400224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893756289 (or 893756265 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 200201400224000 its reverse (422004102002), we get a palindrome (200623404326002).

The spelling of 200201400224000 in words is "two hundred trillion, two hundred one billion, four hundred million, two hundred twenty-four thousand".