438275940480 has 640 divisors, whose sum is σ = 1801833264000. Its totient is φ = 99445211136.

The previous prime is 438275940437. The next prime is 438275940527. The reversal of 438275940480 is 84049572834.

438275940480 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 7 + 594 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50435976 + ... + 50444664.

It is an arithmetic number, because the mean of its divisors is an integer number (2815364475).

Almost surely, 2^438275940480 is an apocalyptic number.

438275940480 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 438275940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900916632000).

438275940480 is an abundant number, since it is smaller than the sum of its proper divisors (1363557323520).

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

438275940480 is a wasteful number, since it uses less digits than its factorization.

438275940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 438275940480 in words is "four hundred thirty-eight billion, two hundred seventy-five million, nine hundred forty thousand, four hundred eighty".