433242322120 has 128 divisors (see below), whose sum is σ = 1051095196800. Its totient is φ = 160185102336.

The previous prime is 433242322099. The next prime is 433242322153. The reversal of 433242322120 is 21223242334.

It is a super-3 number, since 3×433242322120³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32575312 + ... + 32588608.

It is an arithmetic number, because the mean of its divisors is an integer number (8211681225).

Almost surely, 2^433242322120 is an apocalyptic number.

433242322120 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 433242322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525547598400).

433242322120 is an abundant number, since it is smaller than the sum of its proper divisors (617852874680).

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

433242322120 is a wasteful number, since it uses less digits than its factorization.

433242322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14367 (or 14363 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 433242322120 its reverse (21223242334), we get a palindrome (454465564454).

It can be divided in two parts, 43324 and 2322120, that added together give a square (2365444 = 1538²).

The spelling of 433242322120 in words is "four hundred thirty-three billion, two hundred forty-two million, three hundred twenty-two thousand, one hundred twenty".