200201300289144 has 1280 divisors, whose sum is σ = 744245574589440. Its totient is φ = 48677511168000.

The previous prime is 200201300289139. The next prime is 200201300289149. The reversal of 200201300289144 is 441982003102002.

200201300289144 is a `hidden beast` number, since 2 + 0 + 0 + 201 + 30 + 0 + 289 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (200201300289139) and next prime (200201300289149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200201300289099 and 200201300289108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201300289149) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 213662006244 + ... + 213662007180.

It is an arithmetic number, because the mean of its divisors is an integer number (581441855148).

Almost surely, 2^{200201300289144} is an apocalyptic number.

200201300289144 is a gapful number since it is divisible by the number (24) 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 200201300289144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372122787294720).

200201300289144 is an abundant number, since it is smaller than the sum of its proper divisors (544044274300296).

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

200201300289144 is a wasteful number, since it uses less digits than its factorization.

200201300289144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 200201300289144 in words is "two hundred trillion, two hundred one billion, three hundred million, two hundred eighty-nine thousand, one hundred forty-four".