4134131325216 has 144 divisors (see below), whose sum is σ = 12249645696288. Its totient is φ = 1371512217600.

The previous prime is 4134131325209. The next prime is 4134131325293. The reversal of 4134131325216 is 6125231314314.

4134131325216 is a `hidden beast` number, since 4 + 1 + 3 + 413 + 1 + 3 + 25 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380896 + ... + 2900576.

It is an arithmetic number, because the mean of its divisors is an integer number (85066984002).

Almost surely, 2^{4134131325216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134131325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124822848144).

4134131325216 is an abundant number, since it is smaller than the sum of its proper divisors (8115514371072).

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

4134131325216 is a wasteful number, since it uses less digits than its factorization.

4134131325216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519917 (or 2519897 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 4134131325216 in words is "four trillion, one hundred thirty-four billion, one hundred thirty-one million, three hundred twenty-five thousand, two hundred sixteen".