334421002221200 has 480 divisors, whose sum is σ = 847354015872000. Its totient is φ = 126681233817600.

The previous prime is 334421002221157. The next prime is 334421002221209. The reversal of 334421002221200 is 2122200124433.

It is a super-2 number, since 2×334421002221200² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334421002221200.

It is not an unprimeable number, because it can be changed into a prime (334421002221209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51695931566 + ... + 51695938034.

It is an arithmetic number, because the mean of its divisors is an integer number (1765320866400).

Almost surely, 2^{334421002221200} 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 334421002221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423677007936000).

334421002221200 is an abundant number, since it is smaller than the sum of its proper divisors (512933013650800).

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

334421002221200 is a wasteful number, since it uses less digits than its factorization.

334421002221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 334421002221200 its reverse (2122200124433), we get a palindrome (336543202345633).

The spelling of 334421002221200 in words is "three hundred thirty-four trillion, four hundred twenty-one billion, two million, two hundred twenty-one thousand, two hundred".