334002220420 has 192 divisors, whose sum is σ = 795847368960. Its totient is φ = 116689305600.

The previous prime is 334002220417. The next prime is 334002220421. The reversal of 334002220420 is 24022200433.

It is a super-2 number, since 2×334002220420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 334002220391 and 334002220400.

It is not an unprimeable number, because it can be changed into a prime (334002220421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200360427 + ... + 200362093.

It is an arithmetic number, because the mean of its divisors is an integer number (4145038380).

Almost surely, 2^334002220420 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 334002220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397923684480).

334002220420 is an abundant number, since it is smaller than the sum of its proper divisors (461845148540).

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

334002220420 is a wasteful number, since it uses less digits than its factorization.

334002220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 334002220420 its reverse (24022200433), we get a palindrome (358024420853).

The spelling of 334002220420 in words is "three hundred thirty-four billion, two million, two hundred twenty thousand, four hundred twenty".