4423948800 has 240 divisors, whose sum is σ = 15252684480. Its totient is φ = 1128202240.

The previous prime is 4423948787. The next prime is 4423948801. The reversal of 4423948800 is 88493244.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-5 number, since 5×4423948800⁵ (a number of 49 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (4423948801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880696 + ... + 885704.

It is an arithmetic number, because the mean of its divisors is an integer number (63552852).

Almost surely, 2^4423948800 is an apocalyptic number.

4423948800 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 4423948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626342240).

4423948800 is an abundant number, since it is smaller than the sum of its proper divisors (10828735680).

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

4423948800 is a wasteful number, since it uses less digits than its factorization.

4423948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4423948800 is about 66512.7717058912. The cubic root of 4423948800 is about 1641.6101576685.

It can be divided in two parts, 44239 and 48800, that added together give a palindrome (93039).

The spelling of 4423948800 in words is "four billion, four hundred twenty-three million, nine hundred forty-eight thousand, eight hundred".