12409328444400 has 240 divisors, whose sum is σ = 44190211154400. Its totient is φ = 3307491440640.

The previous prime is 12409328444353. The next prime is 12409328444477. The reversal of 12409328444400 is 444482390421.

12409328444400 is a `hidden beast` number, since 1 + 2 + 40 + 93 + 2 + 84 + 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 (45).

It is a congruent number.

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, 21279916 + ... + 21855284.

It is an arithmetic number, because the mean of its divisors is an integer number (184125879810).

Almost surely, 2^{12409328444400} is an apocalyptic number.

12409328444400 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 12409328444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22095105577200).

12409328444400 is an abundant number, since it is smaller than the sum of its proper divisors (31780882710000).

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

12409328444400 is a wasteful number, since it uses less digits than its factorization.

12409328444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577393 (or 577376 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 12409328444400 in words is "twelve trillion, four hundred nine billion, three hundred twenty-eight million, four hundred forty-four thousand, four hundred".