201140400323424 has 192 divisors, whose sum is σ = 538256478412800. Its totient is φ = 65756036763648.

The previous prime is 201140400323377. The next prime is 201140400323449. The reversal of 201140400323424 is 424323004041102.

It is a junction number, because it is equal to n+sod(n) for n = 201140400323391 and 201140400323400.

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, 5196467079 + ... + 5196505785.

It is an arithmetic number, because the mean of its divisors is an integer number (2803419158400).

Almost surely, 2^{201140400323424} is an apocalyptic number.

201140400323424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201140400323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269128239206400).

201140400323424 is an abundant number, since it is smaller than the sum of its proper divisors (337116078089376).

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

201140400323424 is a wasteful number, since it uses less digits than its factorization.

201140400323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43725 (or 43717 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 201140400323424 its reverse (424323004041102), we get a palindrome (625463404364526).

The spelling of 201140400323424 in words is "two hundred one trillion, one hundred forty billion, four hundred million, three hundred twenty-three thousand, four hundred twenty-four".