438944890019328 has 720 divisors, whose sum is σ = 1650323569614720. Its totient is φ = 114011632373760.

The previous prime is 438944890019327. The next prime is 438944890019351. The reversal of 438944890019328 is 823910098449834.

438944890019328 is a `hidden beast` number, since 4 + 3 + 8 + 9 + 448 + 90 + 0 + 1 + 93 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438944890019327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103297683 + ... + 107463021.

Almost surely, 2^{438944890019328} is an apocalyptic number.

438944890019328 is a gapful number since it is divisible by the number (48) 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 438944890019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825161784807360).

438944890019328 is an abundant number, since it is smaller than the sum of its proper divisors (1211378679595392).

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

438944890019328 is an equidigital number, since it uses as much as digits as its factorization.

438944890019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165401 (or 4165362 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 438944890019328 in words is "four hundred thirty-eight trillion, nine hundred forty-four billion, eight hundred ninety million, nineteen thousand, three hundred twenty-eight".