203141224424320 has 256 divisors, whose sum is σ = 597724309687680. Its totient is φ = 64288663142400.

The previous prime is 203141224424297. The next prime is 203141224424323. The reversal of 203141224424320 is 23424422141302.

203141224424320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×203141224424320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203141224424323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144520020 + ... + 3144584620.

Almost surely, 2^{203141224424320} is an apocalyptic number.

203141224424320 is a gapful number since it is divisible by the number (20) 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 203141224424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298862154843840).

203141224424320 is an abundant number, since it is smaller than the sum of its proper divisors (394583085263360).

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

203141224424320 is a wasteful number, since it uses less digits than its factorization.

203141224424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118633 (or 118621 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 203141224424320 its reverse (23424422141302), we get a palindrome (226565646565622).

The spelling of 203141224424320 in words is "two hundred three trillion, one hundred forty-one billion, two hundred twenty-four million, four hundred twenty-four thousand, three hundred twenty".