4102442210000 has 200 divisors, whose sum is σ = 10715134515624. Its totient is φ = 1515304960000.

The previous prime is 4102442209993. The next prime is 4102442210011. The reversal of 4102442210000 is 122442014.

4102442210000 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 20 ways, for example, as 4087092982336 + 15349227664 = 2021656^2 + 123892^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8782340 + ... + 9237660.

Almost surely, 2^{4102442210000} is an apocalyptic number.

4102442210000 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 4102442210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357567257812).

4102442210000 is an abundant number, since it is smaller than the sum of its proper divisors (6612692305624).

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

4102442210000 is a wasteful number, since it uses less digits than its factorization.

4102442210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455419 (or 455398 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4102442210000 its reverse (122442014), we get a palindrome (4102564652014).

The spelling of 4102442210000 in words is "four trillion, one hundred two billion, four hundred forty-two million, two hundred ten thousand".