200214203213024 has 1152 divisors, whose sum is σ = 569889279590400. Its totient is φ = 67199517665280.

The previous prime is 200214203212883. The next prime is 200214203213027. The reversal of 200214203213024 is 420312302412002.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 200214203212984 and 200214203213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200214203213027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217860938837 + ... + 217860939755.

It is an arithmetic number, because the mean of its divisors is an integer number (494695555200).

Almost surely, 2^{200214203213024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200214203213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284944639795200).

200214203213024 is an abundant number, since it is smaller than the sum of its proper divisors (369675076377376).

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

200214203213024 is a wasteful number, since it uses less digits than its factorization.

200214203213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 200214203213024 its reverse (420312302412002), we get a palindrome (620526505625026).

The spelling of 200214203213024 in words is "two hundred trillion, two hundred fourteen billion, two hundred three million, two hundred thirteen thousand, twenty-four".