4411114133220 has 72 divisors (see below), whose sum is σ = 13380576673464. Its totient is φ = 1176279771648.

The previous prime is 4411114133159. The next prime is 4411114133221. The reversal of 4411114133220 is 223314111144.

It is a happy number.

4411114133220 is a `hidden beast` number, since 4 + 4 + 11 + 11 + 413 + 3 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2882409390756 + 1528704742464 = 1697766^2 + 1236408^2 .

It is a super-3 number, since 3×4411114133220³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4411114133221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16175842 + ... + 16446278.

It is an arithmetic number, because the mean of its divisors is an integer number (185841342687).

Almost surely, 2^{4411114133220} is an apocalyptic number.

It is an amenable number.

4411114133220 is an abundant number, since it is smaller than the sum of its proper divisors (8969462540244).

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

4411114133220 is a wasteful number, since it uses less digits than its factorization.

4411114133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361069 (or 361064 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4411114133220 its reverse (223314111144), we get a palindrome (4634428244364).

The spelling of 4411114133220 in words is "four trillion, four hundred eleven billion, one hundred fourteen million, one hundred thirty-three thousand, two hundred twenty".