1284338543400 has 576 divisors, whose sum is σ = 4886509118400. Its totient is φ = 310915584000.

The previous prime is 1284338543393. The next prime is 1284338543401. The reversal of 1284338543400 is 43458334821.

1284338543400 is a `hidden beast` number, since 1 + 28 + 43 + 3 + 8 + 543 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1284338543401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 539410210 + ... + 539412590.

It is an arithmetic number, because the mean of its divisors is an integer number (8483522775).

Almost surely, 2^{1284338543400} is an apocalyptic number.

1284338543400 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 1284338543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443254559200).

1284338543400 is an abundant number, since it is smaller than the sum of its proper divisors (3602170575000).

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

1284338543400 is a wasteful number, since it uses less digits than its factorization.

1284338543400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1284338543400 in words is "one trillion, two hundred eighty-four billion, three hundred thirty-eight million, five hundred forty-three thousand, four hundred".