432434022020 has 288 divisors, whose sum is σ = 1235268631296. Its totient is φ = 122806195200.

The previous prime is 432434021867. The next prime is 432434022043. The reversal of 432434022020 is 20220434234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124943090 + ... + 124946550.

It is an arithmetic number, because the mean of its divisors is an integer number (4289127192).

Almost surely, 2^432434022020 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 432434022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617634315648).

432434022020 is an abundant number, since it is smaller than the sum of its proper divisors (802834609276).

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

432434022020 is a wasteful number, since it uses less digits than its factorization.

432434022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 432434022020 its reverse (20220434234), we get a palindrome (452654456254).

The spelling of 432434022020 in words is "four hundred thirty-two billion, four hundred thirty-four million, twenty-two thousand, twenty".