432034021234020 has 192 divisors, whose sum is σ = 1264808236414464. Its totient is φ = 109980328550400.

The previous prime is 432034021234007. The next prime is 432034021234037. The reversal of 432034021234020 is 20432120430234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2369386774 + ... + 2369569106.

It is an arithmetic number, because the mean of its divisors is an integer number (6587542897992).

Almost surely, 2^{432034021234020} 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 432034021234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632404118207232).

432034021234020 is an abundant number, since it is smaller than the sum of its proper divisors (832774215180444).

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

432034021234020 is a wasteful number, since it uses less digits than its factorization.

432034021234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185782 (or 185780 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 432034021234020 its reverse (20432120430234), we get a palindrome (452466141664254).

The spelling of 432034021234020 in words is "four hundred thirty-two trillion, thirty-four billion, twenty-one million, two hundred thirty-four thousand, twenty".