214200021440000 has 200 divisors, whose sum is σ = 535878066471000. Its totient is φ = 85508241408000.

The previous prime is 214200021439961. The next prime is 214200021440029. The reversal of 214200021440000 is 44120002412.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159009284 + ... + 160350716.

It is an arithmetic number, because the mean of its divisors is an integer number (2679390332355).

Almost surely, 2^{214200021440000} is an apocalyptic number.

214200021440000 is a gapful number since it is divisible by the number (20) 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 214200021440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267939033235500).

214200021440000 is an abundant number, since it is smaller than the sum of its proper divisors (321678045031000).

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

214200021440000 is an frugal number, since it uses more digits than its factorization.

214200021440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341970 (or 1341939 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 214200021440000 its reverse (44120002412), we get a palindrome (214244141442412).

The spelling of 214200021440000 in words is "two hundred fourteen trillion, two hundred billion, twenty-one million, four hundred forty thousand".