4114014132033 has 64 divisors (see below), whose sum is σ = 6833253772800. Its totient is φ = 2428830593280.

The previous prime is 4114014131939. The next prime is 4114014132043. The reversal of 4114014132033 is 3302314104114.

4114014132033 is a `hidden beast` number, since 4 + 1 + 1 + 40 + 1 + 413 + 203 + 3 = 666.

4114014132033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4114014132033 - 2¹⁰ = 4114014131009 is a prime.

It is a super-2 number, since 2×4114014132033² (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).

It is a junction number, because it is equal to n+sod(n) for n = 4114014131988 and 4114014132006.

It is not an unprimeable number, because it can be changed into a prime (4114014132043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310948 + ... + 2885258.

It is an arithmetic number, because the mean of its divisors is an integer number (106769590200).

Almost surely, 2^{4114014132033} is an apocalyptic number.

It is an amenable number.

4114014132033 is a deficient number, since it is larger than the sum of its proper divisors (2719239640767).

4114014132033 is a wasteful number, since it uses less digits than its factorization.

4114014132033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574519 (or 2574513 counting only the distinct ones).

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

Adding to 4114014132033 its reverse (3302314104114), we get a palindrome (7416328236147).

The spelling of 4114014132033 in words is "four trillion, one hundred fourteen billion, fourteen million, one hundred thirty-two thousand, thirty-three".