4408023888000 has 896 divisors, whose sum is σ = 16498572330240. Its totient is φ = 1170692352000.

The previous prime is 4408023887887. The next prime is 4408023888043. The reversal of 4408023888000 is 8883208044.

It is a happy number.

4408023888000 is a `hidden beast` number, since 4 + 408 + 0 + 238 + 8 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×4408023888000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 3580847385 + ... + 3580848615.

It is an arithmetic number, because the mean of its divisors is an integer number (18413585190).

Almost surely, 2^{4408023888000} is an apocalyptic number.

4408023888000 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 4408023888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249286165120).

4408023888000 is an abundant number, since it is smaller than the sum of its proper divisors (12090548442240).

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

4408023888000 is an equidigital number, since it uses as much as digits as its factorization.

4408023888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 4408023888000 in words is "four trillion, four hundred eight billion, twenty-three million, eight hundred eighty-eight thousand".