434201034330 has 384 divisors, whose sum is σ = 1393521615360. Its totient is φ = 94185400320.

The previous prime is 434201034307. The next prime is 434201034413. The reversal of 434201034330 is 33430102434.

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 = 434201034294 and 434201034303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106081764 + ... + 106085856.

It is an arithmetic number, because the mean of its divisors is an integer number (3628962540).

Almost surely, 2^434201034330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434201034330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696760807680).

434201034330 is an abundant number, since it is smaller than the sum of its proper divisors (959320581030).

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

434201034330 is a wasteful number, since it uses less digits than its factorization.

434201034330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 434201034330 its reverse (33430102434), we get a palindrome (467631136764).

The spelling of 434201034330 in words is "four hundred thirty-four billion, two hundred one million, thirty-four thousand, three hundred thirty".