4131342034146 has 96 divisors (see below), whose sum is σ = 9395087450112. Its totient is φ = 1309539258720.

The previous prime is 4131342034109. The next prime is 4131342034181. The reversal of 4131342034146 is 6414302431314.

4131342034146 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 34 + 203 + 414 + 6 = 666.

4131342034146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4131342034146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136229341 + ... + 136259663.

It is an arithmetic number, because the mean of its divisors is an integer number (97865494272).

Almost surely, 2^{4131342034146} is an apocalyptic number.

4131342034146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131342034146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697543725056).

4131342034146 is an abundant number, since it is smaller than the sum of its proper divisors (5263745415966).

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

4131342034146 is a wasteful number, since it uses less digits than its factorization.

4131342034146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32268 (or 32265 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4131342034146 in words is "four trillion, one hundred thirty-one billion, three hundred forty-two million, thirty-four thousand, one hundred forty-six".