4142430342414 has 192 divisors, whose sum is σ = 11395946225664. Its totient is φ = 1058211641088.

The previous prime is 4142430342397. The next prime is 4142430342443.

4142430342414 is a `hidden beast` number, since 4 + 142 + 430 + 3 + 42 + 41 + 4 = 666.

4142430342414 is nontrivially palindromic in base 10.

4142430342414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13361887 + ... + 13668389.

It is an arithmetic number, because the mean of its divisors is an integer number (59353886592).

Almost surely, 2^{4142430342414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142430342414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697973112832).

4142430342414 is an abundant number, since it is smaller than the sum of its proper divisors (7253515883250).

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

4142430342414 is a wasteful number, since it uses less digits than its factorization.

4142430342414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306791 (or 306788 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4142430 and 342414, that added together give a palindrome (4484844).

The spelling of 4142430342414 in words is "four trillion, one hundred forty-two billion, four hundred thirty million, three hundred forty-two thousand, four hundred fourteen".