201140003443424 has 192 divisors, whose sum is σ = 406811878502400. Its totient is φ = 97863778252800.

The previous prime is 201140003443409. The next prime is 201140003443451. The reversal of 201140003443424 is 424344300041102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84477110714 + ... + 84477113094.

It is an arithmetic number, because the mean of its divisors is an integer number (2118811867200).

Almost surely, 2^{201140003443424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201140003443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203405939251200).

201140003443424 is an abundant number, since it is smaller than the sum of its proper divisors (205671875058976).

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

201140003443424 is a wasteful number, since it uses less digits than its factorization.

201140003443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 201140003443424 its reverse (424344300041102), we get a palindrome (625484303484526).

The spelling of 201140003443424 in words is "two hundred one trillion, one hundred forty billion, three million, four hundred forty-three thousand, four hundred twenty-four".