104321444400 has 240 divisors, whose sum is σ = 379209062400. Its totient is φ = 27227024640.

The previous prime is 104321444387. The next prime is 104321444477. The reversal of 104321444400 is 4444123401.

104321444400 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 214 + 4 + 440 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404841 + ... + 610359.

It is an arithmetic number, because the mean of its divisors is an integer number (1580037760).

Almost surely, 2^104321444400 is an apocalyptic number.

104321444400 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 104321444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604531200).

104321444400 is an abundant number, since it is smaller than the sum of its proper divisors (274887618000).

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

104321444400 is a wasteful number, since it uses less digits than its factorization.

104321444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205593 (or 205576 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104321444400 its reverse (4444123401), we get a palindrome (108765567801).

The spelling of 104321444400 in words is "one hundred four billion, three hundred twenty-one million, four hundred forty-four thousand, four hundred".