438104242566144 has 2112 divisors, whose sum is σ = 1633141795663872. Its totient is φ = 109844221132800.

The previous prime is 438104242566127. The next prime is 438104242566191. The reversal of 438104242566144 is 441665242401834.

438104242566144 is a `hidden beast` number, since 4 + 3 + 8 + 10 + 4 + 2 + 4 + 2 + 5 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 786542625514 + ... + 786542626070.

Almost surely, 2^{438104242566144} is an apocalyptic number.

438104242566144 is a gapful number since it is divisible by the number (44) 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 438104242566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816570897831936).

438104242566144 is an abundant number, since it is smaller than the sum of its proper divisors (1195037553097728).

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

438104242566144 is a wasteful number, since it uses less digits than its factorization.

438104242566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

Adding to 438104242566144 its reverse (441665242401834), we get a palindrome (879769484967978).

The spelling of 438104242566144 in words is "four hundred thirty-eight trillion, one hundred four billion, two hundred forty-two million, five hundred sixty-six thousand, one hundred forty-four".