434122441020 has 288 divisors, whose sum is σ = 1409811661440. Its totient is φ = 107862712320.

The previous prime is 434122441019. The next prime is 434122441037. The reversal of 434122441020 is 20144221434.

434122441020 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 224 + 410 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 135281176 + ... + 135284384.

It is an arithmetic number, because the mean of its divisors is an integer number (4895179380).

Almost surely, 2^434122441020 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 434122441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704905830720).

434122441020 is an abundant number, since it is smaller than the sum of its proper divisors (975689220420).

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

434122441020 is a wasteful number, since it uses less digits than its factorization.

434122441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 434122441020 its reverse (20144221434), we get a palindrome (454266662454).

The spelling of 434122441020 in words is "four hundred thirty-four billion, one hundred twenty-two million, four hundred forty-one thousand, twenty".