104344400224000 has 144 divisors (see below), whose sum is σ = 260853464682720. Its totient is φ = 41590273228800.

The previous prime is 104344400223907. The next prime is 104344400224003. The reversal of 104344400224000 is 422004443401.

It is a self number, because there is not a number n which added to its sum of digits gives 104344400224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104344400224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294936 + ... + 14817064.

It is an arithmetic number, because the mean of its divisors is an integer number (1811482393630).

Almost surely, 2^{104344400224000} is an apocalyptic number.

104344400224000 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 104344400224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130426732341360).

104344400224000 is an abundant number, since it is smaller than the sum of its proper divisors (156509064458720).

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

104344400224000 is an equidigital number, since it uses as much as digits as its factorization.

104344400224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11522443 (or 11522419 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 104344400224000 its reverse (422004443401), we get a palindrome (104766404667401).

The spelling of 104344400224000 in words is "one hundred four trillion, three hundred forty-four billion, four hundred million, two hundred twenty-four thousand".