104024448000 has 528 divisors, whose sum is σ = 408987652320. Its totient is φ = 25214976000.

The previous prime is 104024447977. The next prime is 104024448007. The reversal of 104024448000 is 844420401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104024448007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12667896 + ... + 12676104.

Almost surely, 2^104024448000 is an apocalyptic number.

104024448000 is a gapful number since it is divisible by the number (10) 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 104024448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204493826160).

104024448000 is an abundant number, since it is smaller than the sum of its proper divisors (304963204320).

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

104024448000 is a wasteful number, since it uses less digits than its factorization.

104024448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 104024448000 its reverse (844420401), we get a palindrome (104868868401).

The spelling of 104024448000 in words is "one hundred four billion, twenty-four million, four hundred forty-eight thousand".