4159595478240 has 144 divisors (see below), whose sum is σ = 14207903236800. Its totient is φ = 1108187421696.

The previous prime is 4159595478221. The next prime is 4159595478263. The reversal of 4159595478240 is 428745959514.

4159595478240 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 5 + 9 + 547 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 188281 + ... + 2890439.

It is an arithmetic number, because the mean of its divisors is an integer number (98665994700).

Almost surely, 2^{4159595478240} is an apocalyptic number.

4159595478240 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 4159595478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103951618400).

4159595478240 is an abundant number, since it is smaller than the sum of its proper divisors (10048307758560).

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

4159595478240 is a wasteful number, since it uses less digits than its factorization.

4159595478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703249 (or 2703238 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 4159595478240 in words is "four trillion, one hundred fifty-nine billion, five hundred ninety-five million, four hundred seventy-eight thousand, two hundred forty".