201321440044424 has 256 divisors, whose sum is σ = 501920171827200. Its totient is φ = 73558009958400.

The previous prime is 201321440044421. The next prime is 201321440044433. The reversal of 201321440044424 is 424440044123102.

It is not an unprimeable number, because it can be changed into a prime (201321440044421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090306589 + ... + 1090491219.

It is an arithmetic number, because the mean of its divisors is an integer number (1960625671200).

Almost surely, 2^{201321440044424} 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 201321440044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250960085913600).

201321440044424 is an abundant number, since it is smaller than the sum of its proper divisors (300598731782776).

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

201321440044424 is a wasteful number, since it uses less digits than its factorization.

201321440044424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187324 (or 187320 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 201321440044424 its reverse (424440044123102), we get a palindrome (625761484167526).

The spelling of 201321440044424 in words is "two hundred one trillion, three hundred twenty-one billion, four hundred forty million, forty-four thousand, four hundred twenty-four".