333430242420 has 192 divisors, whose sum is σ = 1034715709440. Its totient is φ = 79549516800.

The previous prime is 333430242359. The next prime is 333430242433. The reversal of 333430242420 is 24242034333.

It is a super-2 number, since 2×333430242420² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16309605 + ... + 16330035.

It is an arithmetic number, because the mean of its divisors is an integer number (5389144320).

Almost surely, 2^333430242420 is an apocalyptic number.

333430242420 is a gapful number since it is divisible by the number (30) 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 333430242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517357854720).

333430242420 is an abundant number, since it is smaller than the sum of its proper divisors (701285467020).

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

333430242420 is a wasteful number, since it uses less digits than its factorization.

333430242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20846 (or 20844 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 333430242420 its reverse (24242034333), we get a palindrome (357672276753).

The spelling of 333430242420 in words is "three hundred thirty-three billion, four hundred thirty million, two hundred forty-two thousand, four hundred twenty".