201413224320 has 512 divisors, whose sum is σ = 803884815360. Its totient is φ = 41671065600.

The previous prime is 201413224319. The next prime is 201413224333. The reversal of 201413224320 is 23422314102.

It is a happy number.

201413224320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35626614 + ... + 35632266.

It is an arithmetic number, because the mean of its divisors is an integer number (1570087530).

Almost surely, 2^201413224320 is an apocalyptic number.

201413224320 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 201413224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401942407680).

201413224320 is an abundant number, since it is smaller than the sum of its proper divisors (602471591040).

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

201413224320 is a wasteful number, since it uses less digits than its factorization.

201413224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201413224320 its reverse (23422314102), we get a palindrome (224835538422).

The spelling of 201413224320 in words is "two hundred one billion, four hundred thirteen million, two hundred twenty-four thousand, three hundred twenty".