430521125034 has 256 divisors, whose sum is σ = 1203640381440. Its totient is φ = 99052554240.

The previous prime is 430521125029. The next prime is 430521125053.

430521125034 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 430521124992 and 430521125010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16208937 + ... + 16235475.

It is an arithmetic number, because the mean of its divisors is an integer number (4701720240).

Almost surely, 2^430521125034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430521125034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601820190720).

430521125034 is an abundant number, since it is smaller than the sum of its proper divisors (773119256406).

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

430521125034 is a wasteful number, since it uses less digits than its factorization.

430521125034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26685.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 430521 and 125034, that added together give a palindrome (555555).

The spelling of 430521125034 in words is "four hundred thirty billion, five hundred twenty-one million, one hundred twenty-five thousand, thirty-four".