1438438820112 has 400 divisors, whose sum is σ = 4968088470400. Its totient is φ = 401419452672.

The previous prime is 1438438820111. The next prime is 1438438820173. The reversal of 1438438820112 is 2110288348341.

1438438820112 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 438 + 8 + 201 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1438438820111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19077078 + ... + 19152330.

It is an arithmetic number, because the mean of its divisors is an integer number (12420221176).

Almost surely, 2^{1438438820112} is an apocalyptic number.

1438438820112 is a gapful number since it is divisible by the number (12) 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 1438438820112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484044235200).

1438438820112 is an abundant number, since it is smaller than the sum of its proper divisors (3529649650288).

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

1438438820112 is an equidigital number, since it uses as much as digits as its factorization.

1438438820112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75337 (or 75308 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1438438820112 in words is "one trillion, four hundred thirty-eight billion, four hundred thirty-eight million, eight hundred twenty thousand, one hundred twelve".