4114114032033 has 8 divisors (see below), whose sum is σ = 6094983751200. Its totient is φ = 2742742688004.

The previous prime is 4114114031957. The next prime is 4114114032121. The reversal of 4114114032033 is 3302304114114.

4114114032033 is a `hidden beast` number, since 4 + 1 + 1 + 411 + 40 + 3 + 203 + 3 = 666.

It is not a de Polignac number, because 4114114032033 - 2⁸ = 4114114031777 is a prime.

It is a super-2 number, since 2×4114114032033² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 152374593779 = 4114114032033 / (4 + 1 + 1 + 4 + 1 + 1 + 4 + 0 + 3 + 2 + 0 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 4114114031988 and 4114114032006.

It is not an unprimeable number, because it can be changed into a prime (4114114052033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76187296863 + ... + 76187296916.

It is an arithmetic number, because the mean of its divisors is an integer number (761872968900).

Almost surely, 2^{4114114032033} is an apocalyptic number.

It is an amenable number.

4114114032033 is a deficient number, since it is larger than the sum of its proper divisors (1980869719167).

4114114032033 is a wasteful number, since it uses less digits than its factorization.

4114114032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152374593788 (or 152374593782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4114114032033 its reverse (3302304114114), we get a palindrome (7416418146147).

It can be divided in two parts, 411411 and 4032033, that added together give a palindrome (4443444).

The spelling of 4114114032033 in words is "four trillion, one hundred fourteen billion, one hundred fourteen million, thirty-two thousand, thirty-three".