4032413112114 has 64 divisors (see below), whose sum is σ = 9156718817280. Its totient is φ = 1314799730640.

The previous prime is 4032413112071. The next prime is 4032413112209. The reversal of 4032413112114 is 4112113142304.

It is a happy number.

4032413112114 is a `hidden beast` number, since 4 + 0 + 32 + 413 + 1 + 1 + 211 + 4 = 666.

It is a super-3 number, since 3×4032413112114³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4079709 + ... + 4970799.

It is an arithmetic number, because the mean of its divisors is an integer number (143073731520).

Almost surely, 2^{4032413112114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032413112114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578359408640).

4032413112114 is an abundant number, since it is smaller than the sum of its proper divisors (5124305705166).

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

4032413112114 is a wasteful number, since it uses less digits than its factorization.

4032413112114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892932 (or 892926 counting only the distinct ones).

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

Adding to 4032413112114 its reverse (4112113142304), we get a palindrome (8144526254418).

The spelling of 4032413112114 in words is "four trillion, thirty-two billion, four hundred thirteen million, one hundred twelve thousand, one hundred fourteen".