4395160268928 has 896 divisors, whose sum is σ = 16094761119360. Its totient is φ = 1175880499200.

The previous prime is 4395160268923. The next prime is 4395160268959. The reversal of 4395160268928 is 8298620615934.

4395160268928 is a `hidden beast` number, since 4 + 3 + 9 + 516 + 0 + 26 + 8 + 92 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4395160268921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 306896008 + ... + 306910328.

It is an arithmetic number, because the mean of its divisors is an integer number (17962903035).

Almost surely, 2^{4395160268928} is an apocalyptic number.

4395160268928 is a gapful number since it is divisible by the number (48) 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 4395160268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047380559680).

4395160268928 is an abundant number, since it is smaller than the sum of its proper divisors (11699600850432).

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

4395160268928 is a wasteful number, since it uses less digits than its factorization.

4395160268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14400 (or 14373 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4395160268928 in words is "four trillion, three hundred ninety-five billion, one hundred sixty million, two hundred sixty-eight thousand, nine hundred twenty-eight".