4160628442656 has 1152 divisors, whose sum is σ = 15386657045760. Its totient is φ = 1086229315584.

The previous prime is 4160628442637. The next prime is 4160628442657. The reversal of 4160628442656 is 6562448260614.

4160628442656 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 628 + 4 + 4 + 2 + 6 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4160628442657) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7210794240 + ... + 7210794816.

It is an arithmetic number, because the mean of its divisors is an integer number (13356473130).

Almost surely, 2^{4160628442656} 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 4160628442656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693328522880).

4160628442656 is an abundant number, since it is smaller than the sum of its proper divisors (11226028603104).

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

4160628442656 is a wasteful number, since it uses less digits than its factorization.

4160628442656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 4160628442656 in words is "four trillion, one hundred sixty billion, six hundred twenty-eight million, four hundred forty-two thousand, six hundred fifty-six".