4456663120 has 160 divisors (see below), whose sum is σ = 12944671488. Its totient is φ = 1389256704.

The previous prime is 4456663087. The next prime is 4456663151. The reversal of 4456663120 is 213666544.

It is a self number, because there is not a number n which added to its sum of digits gives 4456663120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483192 + ... + 492328.

Almost surely, 2^4456663120 is an apocalyptic number.

4456663120 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 4456663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472335744).

4456663120 is an abundant number, since it is smaller than the sum of its proper divisors (8488008368).

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

4456663120 is a wasteful number, since it uses less digits than its factorization.

4456663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 4456663120 is about 66758.2438354994. The cubic root of 4456663120 is about 1645.6466965175.

The spelling of 4456663120 in words is "four billion, four hundred fifty-six million, six hundred sixty-three thousand, one hundred twenty".