4142022230000 has 200 divisors, whose sum is σ = 10566445467600. Its totient is φ = 1568063232000.

The previous prime is 4142022229967. The next prime is 4142022230023. The reversal of 4142022230000 is 322202414.

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, 203099804 + ... + 203120196.

It is an arithmetic number, because the mean of its divisors is an integer number (52832227338).

Almost surely, 2^{4142022230000} is an apocalyptic number.

4142022230000 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 4142022230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283222733800).

4142022230000 is an abundant number, since it is smaller than the sum of its proper divisors (6424423237600).

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

4142022230000 is a wasteful number, since it uses less digits than its factorization.

4142022230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21509 (or 21488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4142022230000 its reverse (322202414), we get a palindrome (4142344432414).

The spelling of 4142022230000 in words is "four trillion, one hundred forty-two billion, twenty-two million, two hundred thirty thousand".