201114400320 has 84 divisors (see below), whose sum is σ = 691749749340. Its totient is φ = 53630505984.

The previous prime is 201114400313. The next prime is 201114400327. The reversal of 201114400320 is 23004411102.

201114400320 is a `hidden beast` number, since 201 + 1 + 1 + 440 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (201114400313) and next prime (201114400327).

It can be written as a sum of positive squares in 2 ways, for example, as 83262256704 + 117852143616 = 288552^2 + 343296^2 .

It is a super-2 number, since 2×201114400320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201114400293 and 201114400302.

It is not an unprimeable number, because it can be changed into a prime (201114400327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34912815 + ... + 34918574.

Almost surely, 2^201114400320 is an apocalyptic number.

201114400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201114400320 is an abundant number, since it is smaller than the sum of its proper divisors (490635349020).

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

201114400320 is a wasteful number, since it uses less digits than its factorization.

201114400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69831412 (or 69831399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201114400320 its reverse (23004411102), we get a palindrome (224118811422).

The spelling of 201114400320 in words is "two hundred one billion, one hundred fourteen million, four hundred thousand, three hundred twenty".