434420344100 has 72 divisors (see below), whose sum is σ = 968177282688. Its totient is φ = 169100265600.

The previous prime is 434420344087. The next prime is 434420344177. The reversal of 434420344100 is 1443024434.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 978902 + ... + 1351698.

It is an arithmetic number, because the mean of its divisors is an integer number (13446906704).

Almost surely, 2^434420344100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434420344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484088641344).

434420344100 is an abundant number, since it is smaller than the sum of its proper divisors (533756938588).

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

434420344100 is a wasteful number, since it uses less digits than its factorization.

434420344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373125 (or 373118 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 434420344100 its reverse (1443024434), we get a palindrome (435863368534).

The spelling of 434420344100 in words is "four hundred thirty-four billion, four hundred twenty million, three hundred forty-four thousand, one hundred".