434243420520 has 512 divisors, whose sum is σ = 1632259399680. Its totient is φ = 89982627840.

The previous prime is 434243420519. The next prime is 434243420521. The reversal of 434243420520 is 25024342434.

It is an interprime number because it is at equal distance from previous prime (434243420519) and next prime (434243420521).

It is a super-3 number, since 3×434243420520³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (434243420521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164049837 + ... + 164052483.

It is an arithmetic number, because the mean of its divisors is an integer number (3188006640).

Almost surely, 2^434243420520 is an apocalyptic number.

434243420520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434243420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816129699840).

434243420520 is an abundant number, since it is smaller than the sum of its proper divisors (1198015979160).

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

434243420520 is a wasteful number, since it uses less digits than its factorization.

434243420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 434243420520 its reverse (25024342434), we get a palindrome (459267762954).

The spelling of 434243420520 in words is "four hundred thirty-four billion, two hundred forty-three million, four hundred twenty thousand, five hundred twenty".