432020432114334 has 384 divisors, whose sum is σ = 1117134950031360. Its totient is φ = 118099368576000.

The previous prime is 432020432114309. The next prime is 432020432114353. The reversal of 432020432114334 is 433411234020234.

432020432114334 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 2 + 0 + 4 + 3 + 211 + 433 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50570103667 + ... + 50570112209.

It is an arithmetic number, because the mean of its divisors is an integer number (2909205599040).

Almost surely, 2^{432020432114334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432020432114334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558567475015680).

432020432114334 is an abundant number, since it is smaller than the sum of its proper divisors (685114517917026).

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

432020432114334 is a wasteful number, since it uses less digits than its factorization.

432020432114334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9416 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 432020432114334 its reverse (433411234020234), we get a palindrome (865431666134568).

The spelling of 432020432114334 in words is "four hundred thirty-two trillion, twenty billion, four hundred thirty-two million, one hundred fourteen thousand, three hundred thirty-four".