1428395212800 has 1080 divisors, whose sum is σ = 5395287346176. Its totient is φ = 374561832960.

The previous prime is 1428395212793. The next prime is 1428395212823. The reversal of 1428395212800 is 82125938241.

1428395212800 is a `hidden beast` number, since 1 + 4 + 283 + 95 + 2 + 1 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11247206337 + ... + 11247206463.

Almost surely, 2^{1428395212800} is an apocalyptic number.

1428395212800 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 1428395212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697643673088).

1428395212800 is an abundant number, since it is smaller than the sum of its proper divisors (3966892133376).

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

1428395212800 is an equidigital number, since it uses as much as digits as its factorization.

1428395212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1428395212800 in words is "one trillion, four hundred twenty-eight billion, three hundred ninety-five million, two hundred twelve thousand, eight hundred".