4056446160 has 720 divisors, whose sum is σ = 16343958384. Its totient is φ = 897122304.

The previous prime is 4056446153. The next prime is 4056446171. The reversal of 4056446160 is 616446504.

4056446160 is a `hidden beast` number, since 4 + 0 + 5 + 644 + 6 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1914237504 + 2142208656 = 43752^2 + 46284^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76536694 + ... + 76536746.

Almost surely, 2^4056446160 is an apocalyptic number.

4056446160 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 4056446160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171979192).

4056446160 is an abundant number, since it is smaller than the sum of its proper divisors (12287512224).

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

4056446160 is a wasteful number, since it uses less digits than its factorization.

4056446160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4056446160 is about 63690.2359863739. The cubic root of 4056446160 is about 1594.8330927964.

The spelling of 4056446160 in words is "four billion, fifty-six million, four hundred forty-six thousand, one hundred sixty".