4456424000 has 112 divisors (see below), whose sum is σ = 12613111680. Its totient is φ = 1527897600.

The previous prime is 4456423969. The next prime is 4456424039. The reversal of 4456424000 is 4246544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16211 + ... + 95789.

Almost surely, 2^4456424000 is an apocalyptic number.

4456424000 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 4456424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306555840).

4456424000 is an abundant number, since it is smaller than the sum of its proper divisors (8156687680).

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

4456424000 is an equidigital number, since it uses as much as digits as its factorization.

4456424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79613 (or 79593 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 4456424000 is about 66756.4528716138. The cubic root of 4456424000 is about 1645.6172638781.

The spelling of 4456424000 in words is "four billion, four hundred fifty-six million, four hundred twenty-four thousand".