4159659209160 has 512 divisors, whose sum is σ = 15586666905600. Its totient is φ = 864666316800.

The previous prime is 4159659209143. The next prime is 4159659209171. The reversal of 4159659209160 is 619029569514.

It is a self number, because there is not a number n which added to its sum of digits gives 4159659209160.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420120210 + ... + 420130110.

It is an arithmetic number, because the mean of its divisors is an integer number (30442708800).

Almost surely, 2^{4159659209160} is an apocalyptic number.

4159659209160 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 4159659209160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793333452800).

4159659209160 is an abundant number, since it is smaller than the sum of its proper divisors (11427007696440).

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

4159659209160 is a wasteful number, since it uses less digits than its factorization.

4159659209160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The spelling of 4159659209160 in words is "four trillion, one hundred fifty-nine billion, six hundred fifty-nine million, two hundred nine thousand, one hundred sixty".