434322332112020 has 192 divisors, whose sum is σ = 1012776578779392. Its totient is φ = 155142144000000.

The previous prime is 434322332112013. The next prime is 434322332112023. The reversal of 434322332112020 is 20211233223434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434322332112023) 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, 1433194034 + ... + 1433497046.

It is an arithmetic number, because the mean of its divisors is an integer number (5274878014476).

Almost surely, 2^{434322332112020} 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 434322332112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506388289389696).

434322332112020 is an abundant number, since it is smaller than the sum of its proper divisors (578454246667372).

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

434322332112020 is a wasteful number, since it uses less digits than its factorization.

434322332112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303642 (or 303640 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 434322332112020 its reverse (20211233223434), we get a palindrome (454533565335454).

The spelling of 434322332112020 in words is "four hundred thirty-four trillion, three hundred twenty-two billion, three hundred thirty-two million, one hundred twelve thousand, twenty".