432034302120 has 192 divisors, whose sum is σ = 1404884891520. Its totient is φ = 106195235328.

The previous prime is 432034302113. The next prime is 432034302137. The reversal of 432034302120 is 21203430234.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468069 + ... + 1737611.

It is an arithmetic number, because the mean of its divisors is an integer number (7317108810).

Almost surely, 2^432034302120 is an apocalyptic number.

432034302120 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 432034302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702442445760).

432034302120 is an abundant number, since it is smaller than the sum of its proper divisors (972850589400).

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

432034302120 is a wasteful number, since it uses less digits than its factorization.

432034302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269632 (or 269609 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 432034302120 its reverse (21203430234), we get a palindrome (453237732354).

The spelling of 432034302120 in words is "four hundred thirty-two billion, thirty-four million, three hundred two thousand, one hundred twenty".