434312234331020 has 192 divisors, whose sum is σ = 979431072399360. Its totient is φ = 161188509081600.

The previous prime is 434312234330987. The next prime is 434312234331043. The reversal of 434312234331020 is 20133432213434.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76048365965 + ... + 76048371675.

It is an arithmetic number, because the mean of its divisors is an integer number (5101203502080).

Almost surely, 2^{434312234331020} 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 434312234331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489715536199680).

434312234331020 is an abundant number, since it is smaller than the sum of its proper divisors (545118838068340).

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

434312234331020 is a wasteful number, since it uses less digits than its factorization.

434312234331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 434312234331020 its reverse (20133432213434), we get a palindrome (454445666544454).

The spelling of 434312234331020 in words is "four hundred thirty-four trillion, three hundred twelve billion, two hundred thirty-four million, three hundred thirty-one thousand, twenty".