434441234320 has 40 divisors (see below), whose sum is σ = 1010781004536. Its totient is φ = 173655180288.

The previous prime is 434441234263. The next prime is 434441234327. The reversal of 434441234320 is 23432144434.

It can be written as a sum of positive squares in 4 ways, for example, as 189883291536 + 244557942784 = 435756^2 + 494528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (434441234327) 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 7 ways as a sum of consecutive naturals, for example, 1780167 + ... + 2009446.

Almost surely, 2^434441234320 is an apocalyptic number.

434441234320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434441234320 is an abundant number, since it is smaller than the sum of its proper divisors (576339770216).

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

434441234320 is a wasteful number, since it uses less digits than its factorization.

434441234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791059 (or 3791053 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 434441234320 its reverse (23432144434), we get a palindrome (457873378754).

The spelling of 434441234320 in words is "four hundred thirty-four billion, four hundred forty-one million, two hundred thirty-four thousand, three hundred twenty".