200144241141400 has 96 divisors (see below), whose sum is σ = 481548652128000. Its totient is φ = 77270231198720.

The previous prime is 200144241141389. The next prime is 200144241141419. The reversal of 200144241141400 is 4141142441002.

200144241141400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10705212 + ... + 22691188.

It is an arithmetic number, because the mean of its divisors is an integer number (5016131793000).

Almost surely, 2^{200144241141400} is an apocalyptic number.

200144241141400 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 200144241141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240774326064000).

200144241141400 is an abundant number, since it is smaller than the sum of its proper divisors (281404410986600).

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

200144241141400 is a wasteful number, since it uses less digits than its factorization.

200144241141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988901 (or 11988892 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 200144241141400 its reverse (4141142441002), we get a palindrome (204285383582402).

The spelling of 200144241141400 in words is "two hundred trillion, one hundred forty-four billion, two hundred forty-one million, one hundred forty-one thousand, four hundred".