4159260781416 has 768 divisors, whose sum is σ = 13038504111360. Its totient is φ = 1234405785600.

The previous prime is 4159260781393. The next prime is 4159260781519. The reversal of 4159260781416 is 6141870629514.

4159260781416 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 2 + 607 + 8 + 14 + 16 = 666.

4159260781416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26492106810 + ... + 26492106966.

It is an arithmetic number, because the mean of its divisors is an integer number (16977218895).

Almost surely, 2^{4159260781416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4159260781416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519252055680).

4159260781416 is an abundant number, since it is smaller than the sum of its proper divisors (8879243329944).

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

4159260781416 is a wasteful number, since it uses less digits than its factorization.

4159260781416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4159260781416 in words is "four trillion, one hundred fifty-nine billion, two hundred sixty million, seven hundred eighty-one thousand, four hundred sixteen".