434220412131 has 48 divisors (see below), whose sum is σ = 698946693120. Its totient is φ = 257504732160.

The previous prime is 434220412099. The next prime is 434220412159. The reversal of 434220412131 is 131214022434.

434220412131 is a `hidden beast` number, since 434 + 2 + 204 + 1 + 21 + 3 + 1 = 666.

It is not a de Polignac number, because 434220412131 - 2⁵ = 434220412099 is a prime.

It is a super-2 number, since 2×434220412131² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434220412095 and 434220412104.

It is not an unprimeable number, because it can be changed into a prime (434220412181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27458755 + ... + 27474563.

It is an arithmetic number, because the mean of its divisors is an integer number (14561389440).

Almost surely, 2^434220412131 is an apocalyptic number.

434220412131 is a deficient number, since it is larger than the sum of its proper divisors (264726280989).

434220412131 is a wasteful number, since it uses less digits than its factorization.

434220412131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21776 (or 21773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 434220412131 its reverse (131214022434), we get a palindrome (565434434565).

The spelling of 434220412131 in words is "four hundred thirty-four billion, two hundred twenty million, four hundred twelve thousand, one hundred thirty-one".