4134980160 has 168 divisors, whose sum is σ = 14456380536. Its totient is φ = 1084538880.

The previous prime is 4134980149. The next prime is 4134980183. The reversal of 4134980160 is 610894314.

4134980160 is a `hidden beast` number, since 4 + 1 + 3 + 498 + 0 + 160 = 666.

4134980160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 4115479104 = 4416^2 + 64152^2 .

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, 163912 + ... + 187448.

Almost surely, 2^4134980160 is an apocalyptic number.

4134980160 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 4134980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228190268).

4134980160 is an abundant number, since it is smaller than the sum of its proper divisors (10321400376).

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

4134980160 is a wasteful number, since it uses less digits than its factorization.

4134980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23621 (or 23608 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4134980160 is about 64303.8113955930. The cubic root of 4134980160 is about 1605.0595255531.

The spelling of 4134980160 in words is "four billion, one hundred thirty-four million, nine hundred eighty thousand, one hundred sixty".