4160590128000 has 768 divisors, whose sum is σ = 15352479979200. Its totient is φ = 1079156736000.

The previous prime is 4160590127999. The next prime is 4160590128061. The reversal of 4160590128000 is 8210950614.

4160590128000 is a `hidden beast` number, since 4 + 1 + 60 + 590 + 1 + 2 + 8 + 0 + 0 + 0 = 666.

4160590128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4160590128000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2414735139 + ... + 2414736861.

Almost surely, 2^{4160590128000} is an apocalyptic number.

4160590128000 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 4160590128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676239989600).

4160590128000 is an abundant number, since it is smaller than the sum of its proper divisors (11191889851200).

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

4160590128000 is a wasteful number, since it uses less digits than its factorization.

4160590128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 4160590128000 in words is "four trillion, one hundred sixty billion, five hundred ninety million, one hundred twenty-eight thousand".