201444512541200 has 60 divisors (see below), whose sum is σ = 483972872505540. Its totient is φ = 80577400250880.

The previous prime is 201444512541197. The next prime is 201444512541211. The reversal of 201444512541200 is 2145215444102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7910673758464 + 193533838782736 = 2812592^2 + 13911644^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85975622 + ... + 88287578.

It is an arithmetic number, because the mean of its divisors is an integer number (8066214541759).

Almost surely, 2^{201444512541200} is an apocalyptic number.

201444512541200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201444512541200 is an abundant number, since it is smaller than the sum of its proper divisors (282528359964340).

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

201444512541200 is a wasteful number, since it uses less digits than its factorization.

201444512541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529804 (or 2529793 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 201444512541200 its reverse (2145215444102), we get a palindrome (203589727985302).

The spelling of 201444512541200 in words is "two hundred one trillion, four hundred forty-four billion, five hundred twelve million, five hundred forty-one thousand, two hundred".