4134675160 has 256 divisors, whose sum is σ = 12020659200. Its totient is φ = 1242777600.

The previous prime is 4134675137. The next prime is 4134675161. The reversal of 4134675160 is 615764314.

4134675160 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 not an unprimeable number, because it can be changed into a prime (4134675161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11084734 + ... + 11085106.

It is an arithmetic number, because the mean of its divisors is an integer number (46955700).

Almost surely, 2^4134675160 is an apocalyptic number.

4134675160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134675160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010329600).

4134675160 is an abundant number, since it is smaller than the sum of its proper divisors (7885984040).

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

4134675160 is a wasteful number, since it uses less digits than its factorization.

4134675160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 4134675160 is about 64301.4397972549. The cubic root of 4134675160 is about 1605.0200610194.

The spelling of 4134675160 in words is "four billion, one hundred thirty-four million, six hundred seventy-five thousand, one hundred sixty".