1428567840000 has 2160 divisors, whose sum is σ = 6345355336320. Its totient is φ = 313528320000.

The previous prime is 1428567839989. The next prime is 1428567840031. The reversal of 1428567840000 is 487658241.

1428567840000 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 567 + 84 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7892639910 + ... + 7892640090.

Almost surely, 2^{1428567840000} is an apocalyptic number.

1428567840000 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 1428567840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172677668160).

1428567840000 is an abundant number, since it is smaller than the sum of its proper divisors (4916787496320).

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

1428567840000 is an frugal number, since it uses more digits than its factorization.

1428567840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1428567840000 in words is "one trillion, four hundred twenty-eight billion, five hundred sixty-seven million, eight hundred forty thousand".