4244213341000 has 128 divisors (see below), whose sum is σ = 10121319243360. Its totient is φ = 1665246336000.

The previous prime is 4244213340989. The next prime is 4244213341003. The reversal of 4244213341000 is 1433124424.

4244213341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 136513992484 + 4107699348516 = 369478^2 + 2026746^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4244213341000.

It is not an unprimeable number, because it can be changed into a prime (4244213341003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308506122 + ... + 308519878.

Almost surely, 2^{4244213341000} is an apocalyptic number.

4244213341000 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 4244213341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060659621680).

4244213341000 is an abundant number, since it is smaller than the sum of its proper divisors (5877105902360).

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

4244213341000 is a wasteful number, since it uses less digits than its factorization.

4244213341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19652 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4244213341000 its reverse (1433124424), we get a palindrome (4245646465424).

The spelling of 4244213341000 in words is "four trillion, two hundred forty-four billion, two hundred thirteen million, three hundred forty-one thousand".