438134705334144 has 7680 divisors, whose sum is σ = 1906119806976000. Its totient is φ = 98415285534720.

The previous prime is 438134705334119. The next prime is 438134705334149. The reversal of 438134705334144 is 441433507431834.

438134705334144 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 34 + 70 + 533 + 4 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438134705334149) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 5278731389527 + ... + 5278731389609.

It is an arithmetic number, because the mean of its divisors is an integer number (248192683200).

Almost surely, 2^{438134705334144} 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 438134705334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953059903488000).

438134705334144 is an abundant number, since it is smaller than the sum of its proper divisors (1467985101641856).

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

438134705334144 is a wasteful number, since it uses less digits than its factorization.

438134705334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 438134705334144 in words is "four hundred thirty-eight trillion, one hundred thirty-four billion, seven hundred five million, three hundred thirty-four thousand, one hundred forty-four".