414433202013133 has 32 divisors (see below), whose sum is σ = 422679548498688. Its totient is φ = 406284444864000.

The previous prime is 414433202013113. The next prime is 414433202013137. The reversal of 414433202013133 is 331310202334414.

It is a cyclic number.

It is not a de Polignac number, because 414433202013133 - 2⁵ = 414433202013101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414433202013137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13659165543 + ... + 13659195883.

It is an arithmetic number, because the mean of its divisors is an integer number (13208735890584).

Almost surely, 2^{414433202013133} is an apocalyptic number.

It is an amenable number.

414433202013133 is a deficient number, since it is larger than the sum of its proper divisors (8246346485555).

414433202013133 is a wasteful number, since it uses less digits than its factorization.

414433202013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33093.

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 414433202013133 its reverse (331310202334414), we get a palindrome (745743404347547).

The spelling of 414433202013133 in words is "four hundred fourteen trillion, four hundred thirty-three billion, two hundred two million, thirteen thousand, one hundred thirty-three".