4142134121334 has 64 divisors (see below), whose sum is σ = 9164248353792. Its totient is φ = 1237667558400.

The previous prime is 4142134121327. The next prime is 4142134121353. The reversal of 4142134121334 is 4331214312414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4142134121295 and 4142134121304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541204 + ... + 2928680.

It is an arithmetic number, because the mean of its divisors is an integer number (143191380528).

Almost surely, 2^{4142134121334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142134121334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582124176896).

4142134121334 is an abundant number, since it is smaller than the sum of its proper divisors (5022114232458).

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

4142134121334 is a wasteful number, since it uses less digits than its factorization.

4142134121334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387861.

The product of its digits is 27648, while the sum is 33.

Adding to 4142134121334 its reverse (4331214312414), we get a palindrome (8473348433748).

The spelling of 4142134121334 in words is "four trillion, one hundred forty-two billion, one hundred thirty-four million, one hundred twenty-one thousand, three hundred thirty-four".