1428348413184 has 576 divisors, whose sum is σ = 4992566476800. Its totient is φ = 359009280000.

The previous prime is 1428348413171. The next prime is 1428348413203. The reversal of 1428348413184 is 4813148438241.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89819634 + ... + 89835534.

Almost surely, 2^{1428348413184} is an apocalyptic number.

1428348413184 is a gapful number since it is divisible by the number (14) 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 1428348413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496283238400).

1428348413184 is an abundant number, since it is smaller than the sum of its proper divisors (3564218063616).

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

1428348413184 is a wasteful number, since it uses less digits than its factorization.

1428348413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983 (or 15955 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 1428348413184 in words is "one trillion, four hundred twenty-eight billion, three hundred forty-eight million, four hundred thirteen thousand, one hundred eighty-four".