1428441244800 has 768 divisors, whose sum is σ = 4907543397120. Its totient is φ = 364983091200.

The previous prime is 1428441244777. The next prime is 1428441244849. The reversal of 1428441244800 is 84421448241.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5083420660 + ... + 5083420940.

It is an arithmetic number, because the mean of its divisors is an integer number (6390030465).

Almost surely, 2^{1428441244800} is an apocalyptic number.

1428441244800 is a gapful number since it is divisible by the number (10) 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 1428441244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453771698560).

1428441244800 is an abundant number, since it is smaller than the sum of its proper divisors (3479102152320).

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

1428441244800 is a wasteful number, since it uses less digits than its factorization.

1428441244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 1428441244800 in words is "one trillion, four hundred twenty-eight billion, four hundred forty-one million, two hundred forty-four thousand, eight hundred".