431134040100340 has 12 divisors (see below), whose sum is σ = 905381484210756. Its totient is φ = 172453616040128.

The previous prime is 431134040100317. The next prime is 431134040100349. The reversal of 431134040100340 is 43001040431134.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 201651473763216 + 229482566337124 = 14200404^2 + 15148682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 431134040100299 and 431134040100308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431134040100349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10778351002489 + ... + 10778351002528.

It is an arithmetic number, because the mean of its divisors is an integer number (75448457017563).

Almost surely, 2^{431134040100340} is an apocalyptic number.

It is an amenable number.

431134040100340 is an abundant number, since it is smaller than the sum of its proper divisors (474247444110416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431134040100340 is a wasteful number, since it uses less digits than its factorization.

431134040100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21556702005026 (or 21556702005024 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 431134040100340 its reverse (43001040431134), we get a palindrome (474135080531474).

The spelling of 431134040100340 in words is "four hundred thirty-one trillion, one hundred thirty-four billion, forty million, one hundred thousand, three hundred forty".