130434014400309 has 24 divisors (see below), whose sum is σ = 191337717322752. Its totient is φ = 85612756844160.

The previous prime is 130434014400229. The next prime is 130434014400331. The reversal of 130434014400309 is 903004410434031.

130434014400309 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 340 + 1 + 4 + 4 + 0 + 0 + 309 = 666.

It is not a de Polignac number, because 130434014400309 - 2²⁸ = 130433745964853 is a prime.

It is a super-2 number, since 2×130434014400309² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434014400509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435405604 + ... + 435705069.

It is an arithmetic number, because the mean of its divisors is an integer number (7972404888448).

Almost surely, 2^{130434014400309} is an apocalyptic number.

It is an amenable number.

130434014400309 is a deficient number, since it is larger than the sum of its proper divisors (60903702922443).

130434014400309 is a wasteful number, since it uses less digits than its factorization.

130434014400309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871110937 (or 871110934 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 130434014400309 in words is "one hundred thirty trillion, four hundred thirty-four billion, fourteen million, four hundred thousand, three hundred nine".