201114415320 has 256 divisors, whose sum is σ = 744145920000. Its totient is φ = 42343243776.

The previous prime is 201114415289. The next prime is 201114415339. The reversal of 201114415320 is 23514411102.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5211456 + ... + 5249904.

It is an arithmetic number, because the mean of its divisors is an integer number (2906820000).

Almost surely, 2^201114415320 is an apocalyptic number.

201114415320 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 201114415320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372072960000).

201114415320 is an abundant number, since it is smaller than the sum of its proper divisors (543031504680).

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

201114415320 is a wasteful number, since it uses less digits than its factorization.

201114415320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38962 (or 38958 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 201114415320 its reverse (23514411102), we get a palindrome (224628826422).

The spelling of 201114415320 in words is "two hundred one billion, one hundred fourteen million, four hundred fifteen thousand, three hundred twenty".