434112400431 has 20 divisors (see below), whose sum is σ = 657622549584. Its totient is φ = 285332090400.

The previous prime is 434112400427. The next prime is 434112400441. The reversal of 434112400431 is 134004211434.

434112400431 is a `hidden beast` number, since 4 + 3 + 411 + 240 + 0 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 434112400431 - 2² = 434112400427 is a prime.

It is a super-2 number, since 2×434112400431² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434112400395 and 434112400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434112400411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37736590 + ... + 37748091.

Almost surely, 2^434112400431 is an apocalyptic number.

434112400431 is a deficient number, since it is larger than the sum of its proper divisors (223510149153).

434112400431 is an equidigital number, since it uses as much as digits as its factorization.

434112400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75484764 (or 75484755 counting only the distinct ones).

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

Adding to 434112400431 its reverse (134004211434), we get a palindrome (568116611865).

The spelling of 434112400431 in words is "four hundred thirty-four billion, one hundred twelve million, four hundred thousand, four hundred thirty-one".