434243431232 has 112 divisors (see below), whose sum is σ = 975963942912. Its totient is φ = 190195568640.

The previous prime is 434243431121. The next prime is 434243431277. The reversal of 434243431232 is 232134342434.

It is a junction number, because it is equal to n+sod(n) for n = 434243431192 and 434243431201.

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 15 ways as a sum of consecutive naturals, for example, 2340932 + ... + 2519612.

It is an arithmetic number, because the mean of its divisors is an integer number (8713963776).

Almost surely, 2^434243431232 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 434243431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487981971456).

434243431232 is an abundant number, since it is smaller than the sum of its proper divisors (541720511680).

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

434243431232 is a wasteful number, since it uses less digits than its factorization.

434243431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178856 (or 178846 counting only the distinct ones).

The product of its digits is 165888, while the sum is 35.

Adding to 434243431232 its reverse (232134342434), we get a palindrome (666377773666).

The spelling of 434243431232 in words is "four hundred thirty-four billion, two hundred forty-three million, four hundred thirty-one thousand, two hundred thirty-two".