434400131414133 has 16 divisors (see below), whose sum is σ = 643665180124800. Its totient is φ = 289550844162720.

The previous prime is 434400131414033. The next prime is 434400131414159. The reversal of 434400131414133 is 331414131004434.

434400131414133 is a `hidden beast` number, since 4 + 3 + 440 + 0 + 1 + 3 + 141 + 41 + 33 = 666.

It is not a de Polignac number, because 434400131414133 - 2²² = 434400127219829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434400131414033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367711793 + ... + 1368029366.

It is an arithmetic number, because the mean of its divisors is an integer number (40229073757800).

Almost surely, 2^{434400131414133} is an apocalyptic number.

It is an amenable number.

434400131414133 is a deficient number, since it is larger than the sum of its proper divisors (209265048710667).

434400131414133 is a wasteful number, since it uses less digits than its factorization.

434400131414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735747049 (or 2735747043 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 434400131414133 its reverse (331414131004434), we get a palindrome (765814262418567).

The spelling of 434400131414133 in words is "four hundred thirty-four trillion, four hundred billion, one hundred thirty-one million, four hundred fourteen thousand, one hundred thirty-three".