4244213310000 has 400 divisors, whose sum is σ = 13926883845600. Its totient is φ = 1113254912000.

The previous prime is 4244213309977. The next prime is 4244213310013. The reversal of 4244213310000 is 133124424.

4244213310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×4244213310000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 525985966 + ... + 525994034.

It is an arithmetic number, because the mean of its divisors is an integer number (34817209614).

Almost surely, 2^{4244213310000} is an apocalyptic number.

4244213310000 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 4244213310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963441922800).

4244213310000 is an abundant number, since it is smaller than the sum of its proper divisors (9682670535600).

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

4244213310000 is a wasteful number, since it uses less digits than its factorization.

4244213310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4244213310000 its reverse (133124424), we get a palindrome (4244346434424).

The spelling of 4244213310000 in words is "four trillion, two hundred forty-four billion, two hundred thirteen million, three hundred ten thousand".