4220344341000 has 192 divisors, whose sum is σ = 14350186730880. Its totient is φ = 1118685686400.

The previous prime is 4220344340969. The next prime is 4220344341029. The reversal of 4220344341000 is 1434430224.

It is a happy number.

4220344341000 is a `hidden beast` number, since 4 + 2 + 203 + 4 + 43 + 410 + 0 + 0 = 666.

It is a super-2 number, since 2×4220344341000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99027 + ... + 2906973.

It is an arithmetic number, because the mean of its divisors is an integer number (74740555890).

Almost surely, 2^{4220344341000} is an apocalyptic number.

4220344341000 is a gapful number since it is divisible by the number (40) 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 4220344341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175093365440).

4220344341000 is an abundant number, since it is smaller than the sum of its proper divisors (10129842389880).

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

4220344341000 is a wasteful number, since it uses less digits than its factorization.

4220344341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808141 (or 2808124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4220344341000 its reverse (1434430224), we get a palindrome (4221778771224).

The spelling of 4220344341000 in words is "four trillion, two hundred twenty billion, three hundred forty-four million, three hundred forty-one thousand".