1427844112128 has 1296 divisors, whose sum is σ = 5333773326336. Its totient is φ = 372740382720.

The previous prime is 1427844112111. The next prime is 1427844112129. The reversal of 1427844112128 is 8212114487241.

1427844112128 is a `hidden beast` number, since 1 + 4 + 2 + 78 + 441 + 12 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427844112129) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4873187950 + ... + 4873188242.

Almost surely, 2^{1427844112128} is an apocalyptic number.

1427844112128 is a gapful number since it is divisible by the number (18) 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 1427844112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666886663168).

1427844112128 is an abundant number, since it is smaller than the sum of its proper divisors (3905929214208).

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

1427844112128 is an equidigital number, since it uses as much as digits as its factorization.

1427844112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 355 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

Adding to 1427844112128 its reverse (8212114487241), we get a palindrome (9639958599369).

The spelling of 1427844112128 in words is "one trillion, four hundred twenty-seven billion, eight hundred forty-four million, one hundred twelve thousand, one hundred twenty-eight".