4129345213875 has 256 divisors, whose sum is σ = 9216242380800. Its totient is φ = 1782187660800.

The previous prime is 4129345213853. The next prime is 4129345213957. The reversal of 4129345213875 is 5783125439214.

4129345213875 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 34 + 521 + 3 + 87 + 5 = 666.

4129345213875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4129345213875 - 2¹² = 4129345209779 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 131504677 + ... + 131536073.

It is an arithmetic number, because the mean of its divisors is an integer number (36000946800).

Almost surely, 2^{4129345213875} is an apocalyptic number.

4129345213875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4129345213875 is an abundant number, since it is smaller than the sum of its proper divisors (5086897166925).

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

4129345213875 is a wasteful number, since it uses less digits than its factorization.

4129345213875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31740 (or 31724 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 4129345213875 in words is "four trillion, one hundred twenty-nine billion, three hundred forty-five million, two hundred thirteen thousand, eight hundred seventy-five".