200144144132400 has 240 divisors, whose sum is σ = 690458439609344. Its totient is φ = 49265361699840.

The previous prime is 200144144132291. The next prime is 200144144132483. The reversal of 200144144132400 is 4231441441002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1432119327 + ... + 1432259073.

Almost surely, 2^{200144144132400} is an apocalyptic number.

200144144132400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200144144132400 is an abundant number, since it is smaller than the sum of its proper divisors (490314295476944).

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

200144144132400 is a wasteful number, since it uses less digits than its factorization.

200144144132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231588 (or 231577 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 200144144132400 its reverse (4231441441002), we get a palindrome (204375585573402).

The spelling of 200144144132400 in words is "two hundred trillion, one hundred forty-four billion, one hundred forty-four million, one hundred thirty-two thousand, four hundred".