1428126796800 has 792 divisors, whose sum is σ = 5625530060592. Its totient is φ = 346138214400.

The previous prime is 1428126796799. The next prime is 1428126796813. The reversal of 1428126796800 is 86976218241.

It is a happy number.

1428126796800 is a `hidden beast` number, since 1 + 428 + 126 + 7 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×1428126796800² (a number of 25 digits) contains 22 as substring.

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, 306660072 + ... + 306664728.

Almost surely, 2^{1428126796800} is an apocalyptic number.

1428126796800 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 1428126796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812765030296).

1428126796800 is an abundant number, since it is smaller than the sum of its proper divisors (4197403263792).

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

1428126796800 is a wasteful number, since it uses less digits than its factorization.

1428126796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1428126796800 in words is "one trillion, four hundred twenty-eight billion, one hundred twenty-six million, seven hundred ninety-six thousand, eight hundred".