142034041200000 has 768 divisors, whose sum is σ = 500954961830400. Its totient is φ = 35530076160000.

The previous prime is 142034041199969. The next prime is 142034041200001. The reversal of 142034041200000 is 2140430241.

It is a self number, because there is not a number n which added to its sum of digits gives 142034041200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142034041200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6262788661 + ... + 6262811339.

It is an arithmetic number, because the mean of its divisors is an integer number (652285106550).

Almost surely, 2^{142034041200000} is an apocalyptic number.

142034041200000 is a gapful number since it is divisible by the number (10) 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 142034041200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250477480915200).

142034041200000 is an abundant number, since it is smaller than the sum of its proper divisors (358920920630400).

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

142034041200000 is an equidigital number, since it uses as much as digits as its factorization.

142034041200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23045 (or 23013 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 142034041200000 its reverse (2140430241), we get a palindrome (142036181630241).

The spelling of 142034041200000 in words is "one hundred forty-two trillion, thirty-four billion, forty-one million, two hundred thousand".