438984000000 has 1680 divisors, whose sum is σ = 1978200928704. Its totient is φ = 91238400000.

The previous prime is 438983999977. The next prime is 438984000017. The reversal of 438984000000 is 489834.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 438984000000 = 200³ + 7600³ = 2050³ + 7550³.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6551999967 + ... + 6552000033.

Almost surely, 2^438984000000 is an apocalyptic number.

438984000000 is a gapful number since it is divisible by the number (40) 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 438984000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989100464352).

438984000000 is an abundant number, since it is smaller than the sum of its proper divisors (1539216928704).

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

438984000000 is an frugal number, since it uses more digits than its factorization.

438984000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 438984000000 its reverse (489834), we get a palindrome (438984489834).

The spelling of 438984000000 in words is "four hundred thirty-eight billion, nine hundred eighty-four million", and thus it is an aban number.