1428598259712 has 768 divisors, whose sum is σ = 4746329908320. Its totient is φ = 426541842432.

The previous prime is 1428598259689. The next prime is 1428598259719. The reversal of 1428598259712 is 2179528958241.

1428598259712 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 598 + 25 + 9 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 1428598259712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428598259719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3830021958 + ... + 3830022330.

Almost surely, 2^{1428598259712} is an apocalyptic number.

1428598259712 is a gapful number since it is divisible by the number (12) 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 1428598259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373164954160).

1428598259712 is an abundant number, since it is smaller than the sum of its proper divisors (3317731648608).

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

1428598259712 is an frugal number, since it uses more digits than its factorization.

1428598259712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 428 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 1428598259712 in words is "one trillion, four hundred twenty-eight billion, five hundred ninety-eight million, two hundred fifty-nine thousand, seven hundred twelve".