438821351055360 has 7168 divisors, whose sum is σ = 2111686391808000. Its totient is φ = 85699747381248.

The previous prime is 438821351055349. The next prime is 438821351055419. The reversal of 438821351055360 is 63550153128834.

438821351055360 is a `hidden beast` number, since 4 + 3 + 8 + 8 + 2 + 13 + 5 + 10 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

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

It is a junction number, because it is equal to n+sod(n) for n = 438821351055297 and 438821351055306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6011251384284 + ... + 6011251384356.

It is an arithmetic number, because the mean of its divisors is an integer number (294599106000).

Almost surely, 2^{438821351055360} is an apocalyptic number.

438821351055360 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 438821351055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055843195904000).

438821351055360 is an abundant number, since it is smaller than the sum of its proper divisors (1672865040752640).

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

438821351055360 is a wasteful number, since it uses less digits than its factorization.

438821351055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 438821351055360 in words is "four hundred thirty-eight trillion, eight hundred twenty-one billion, three hundred fifty-one million, fifty-five thousand, three hundred sixty".