4160431668096 has 192 divisors, whose sum is σ = 13068209746800. Its totient is φ = 1259987435520.

The previous prime is 4160431668049. The next prime is 4160431668103. The reversal of 4160431668096 is 6908661340614.

4160431668096 is a `hidden beast` number, since 4 + 1 + 60 + 431 + 6 + 68 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21407650 + ... + 21601118.

Almost surely, 2^{4160431668096} 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 4160431668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534104873400).

4160431668096 is an abundant number, since it is smaller than the sum of its proper divisors (8907778078704).

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

4160431668096 is a wasteful number, since it uses less digits than its factorization.

4160431668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195197 (or 195182 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4160431668096 in words is "four trillion, one hundred sixty billion, four hundred thirty-one million, six hundred sixty-eight thousand, ninety-six".