1286340728400 has 2160 divisors, whose sum is σ = 6078669422400. Its totient is φ = 256779694080.

The previous prime is 1286340728377. The next prime is 1286340728401. The reversal of 1286340728400 is 48270436821.

It is a happy number.

1286340728400 is a `hidden beast` number, since 1 + 2 + 8 + 634 + 0 + 7 + 2 + 8 + 4 + 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 not an unprimeable number, because it can be changed into a prime (1286340728401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1699260822 + ... + 1699261578.

Almost surely, 2^{1286340728400} is an apocalyptic number.

1286340728400 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 1286340728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039334711200).

1286340728400 is an abundant number, since it is smaller than the sum of its proper divisors (4792328694000).

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

1286340728400 is a wasteful number, since it uses less digits than its factorization.

1286340728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1286340728400 in words is "one trillion, two hundred eighty-six billion, three hundred forty million, seven hundred twenty-eight thousand, four hundred".