201144241203440 has 80 divisors (see below), whose sum is σ = 483816262572000. Its totient is φ = 77678526944256.

The previous prime is 201144241203421. The next prime is 201144241203457. The reversal of 201144241203440 is 44302142441102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 201144241203397 and 201144241203406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 35278139 + ... + 40581221.

It is an arithmetic number, because the mean of its divisors is an integer number (6047703282150).

Almost surely, 2^{201144241203440} is an apocalyptic number.

201144241203440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201144241203440 is an abundant number, since it is smaller than the sum of its proper divisors (282672021368560).

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

201144241203440 is a wasteful number, since it uses less digits than its factorization.

201144241203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319474 (or 5319468 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 201144241203440 its reverse (44302142441102), we get a palindrome (245446383644542).

The spelling of 201144241203440 in words is "two hundred one trillion, one hundred forty-four billion, two hundred forty-one million, two hundred three thousand, four hundred forty".