414020234133 has 48 divisors (see below), whose sum is σ = 664103119680. Its totient is φ = 246431001600.

The previous prime is 414020234119. The next prime is 414020234137. The reversal of 414020234133 is 331432020414.

414020234133 is a `hidden beast` number, since 4 + 1 + 40 + 202 + 3 + 413 + 3 = 666.

It is not a de Polignac number, because 414020234133 - 2¹⁴ = 414020217749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414020234097 and 414020234106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414020234137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3927685 + ... + 4031717.

It is an arithmetic number, because the mean of its divisors is an integer number (13835481660).

Almost surely, 2^414020234133 is an apocalyptic number.

It is an amenable number.

414020234133 is a deficient number, since it is larger than the sum of its proper divisors (250082885547).

414020234133 is a wasteful number, since it uses less digits than its factorization.

414020234133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104770 (or 104767 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 414020234133 its reverse (331432020414), we get a palindrome (745452254547).

The spelling of 414020234133 in words is "four hundred fourteen billion, twenty million, two hundred thirty-four thousand, one hundred thirty-three".