12444434032104 has 128 divisors (see below), whose sum is σ = 36398005248000. Its totient is φ = 3928657982400.

The previous prime is 12444434032097. The next prime is 12444434032109. The reversal of 12444434032104 is 40123043444421.

12444434032104 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 434 + 0 + 3 + 210 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12444434032109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13469559 + ... + 14363769.

It is an arithmetic number, because the mean of its divisors is an integer number (284359416000).

Almost surely, 2^{12444434032104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444434032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199002624000).

12444434032104 is an abundant number, since it is smaller than the sum of its proper divisors (23953571215896).

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

12444434032104 is a wasteful number, since it uses less digits than its factorization.

12444434032104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897636 (or 897626 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12444434032104 its reverse (40123043444421), we get a palindrome (52567477476525).

The spelling of 12444434032104 in words is "twelve trillion, four hundred forty-four billion, four hundred thirty-four million, thirty-two thousand, one hundred four".