433000330420020 has 384 divisors, whose sum is σ = 1354004014325760. Its totient is φ = 102489868615680.

The previous prime is 433000330419989. The next prime is 433000330420027. The reversal of 433000330420020 is 20024033000334.

It is a super-2 number, since 2×433000330420020² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433000330420027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34427943972 + ... + 34427956548.

It is an arithmetic number, because the mean of its divisors is an integer number (3526052120640).

Almost surely, 2^{433000330420020} 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 433000330420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677002007162880).

433000330420020 is an abundant number, since it is smaller than the sum of its proper divisors (921003683905740).

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

433000330420020 is a wasteful number, since it uses less digits than its factorization.

433000330420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15223 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 433000330420020 its reverse (20024033000334), we get a palindrome (453024363420354).

The spelling of 433000330420020 in words is "four hundred thirty-three trillion, three hundred thirty million, four hundred twenty thousand, twenty".