420033212032 has 128 divisors (see below), whose sum is σ = 994260096000. Its totient is φ = 176616760320.

The previous prime is 420033212029. The next prime is 420033212033. The reversal of 420033212032 is 230212330024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 420033211994 and 420033212012.

It is not an unprimeable number, because it can be changed into a prime (420033212033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236657 + ... + 2417167.

It is an arithmetic number, because the mean of its divisors is an integer number (7767657000).

Almost surely, 2^420033212032 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 420033212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497130048000).

420033212032 is an abundant number, since it is smaller than the sum of its proper divisors (574226883968).

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

420033212032 is an equidigital number, since it uses as much as digits as its factorization.

420033212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180599 (or 180573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 420033212032 its reverse (230212330024), we get a palindrome (650245542056).

The spelling of 420033212032 in words is "four hundred twenty billion, thirty-three million, two hundred twelve thousand, thirty-two".