104404434400 has 72 divisors (see below), whose sum is σ = 291288387600. Its totient is φ = 35795804160.

The previous prime is 104404434373. The next prime is 104404434413. The reversal of 104404434400 is 4434404401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9316225 + ... + 9327424.

It is an arithmetic number, because the mean of its divisors is an integer number (4045672050).

Almost surely, 2^104404434400 is an apocalyptic number.

104404434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104404434400 is an abundant number, since it is smaller than the sum of its proper divisors (186883953200).

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

104404434400 is a wasteful number, since it uses less digits than its factorization.

104404434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18643676 (or 18643663 counting only the distinct ones).

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

Adding to 104404434400 its reverse (4434404401), we get a palindrome (108838838801).

The spelling of 104404434400 in words is "one hundred four billion, four hundred four million, four hundred thirty-four thousand, four hundred".