434433311013020 has 192 divisors, whose sum is σ = 1009823142706560. Its totient is φ = 155677261824000.

The previous prime is 434433311012999. The next prime is 434433311013029. The reversal of 434433311013020 is 20310113334434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434433311013029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17590517312 + ... + 17590542008.

It is an arithmetic number, because the mean of its divisors is an integer number (5259495534930).

Almost surely, 2^{434433311013020} 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 434433311013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504911571353280).

434433311013020 is an abundant number, since it is smaller than the sum of its proper divisors (575389831693540).

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

434433311013020 is a wasteful number, since it uses less digits than its factorization.

434433311013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28504 (or 28502 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 434433311013020 its reverse (20310113334434), we get a palindrome (454743424347454).

The spelling of 434433311013020 in words is "four hundred thirty-four trillion, four hundred thirty-three billion, three hundred eleven million, thirteen thousand, twenty".