4159874160 has 360 divisors, whose sum is σ = 16025362704. Its totient is φ = 963256320.

The previous prime is 4159874113. The next prime is 4159874161. The reversal of 4159874160 is 614789514.

4159874160 is a `hidden beast` number, since 4 + 159 + 87 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4159874161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2067555 + ... + 2069565.

Almost surely, 2^4159874160 is an apocalyptic number.

4159874160 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 4159874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012681352).

4159874160 is an abundant number, since it is smaller than the sum of its proper divisors (11865488544).

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

4159874160 is a wasteful number, since it uses less digits than its factorization.

4159874160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4159874160 is about 64497.0864458233. The cubic root of 4159874160 is about 1608.2740863449.

The spelling of 4159874160 in words is "four billion, one hundred fifty-nine million, eight hundred seventy-four thousand, one hundred sixty".