4142133100000 has 288 divisors, whose sum is σ = 11662443555840. Its totient is φ = 1418521920000.

The previous prime is 4142133099977. The next prime is 4142133100013. The reversal of 4142133100000 is 13312414.

It is a super-4 number, since 4×4142133100000⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713297097 + ... + 713302903.

It is an arithmetic number, because the mean of its divisors is an integer number (40494595680).

Almost surely, 2^{4142133100000} is an apocalyptic number.

4142133100000 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 4142133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831221777920).

4142133100000 is an abundant number, since it is smaller than the sum of its proper divisors (7520310455840).

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

4142133100000 is an equidigital number, since it uses as much as digits as its factorization.

4142133100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 4142133100000 its reverse (13312414), we get a palindrome (4142146412414).

The spelling of 4142133100000 in words is "four trillion, one hundred forty-two billion, one hundred thirty-three million, one hundred thousand".