1284241321600 has 192 divisors, whose sum is σ = 3322162635840. Its totient is φ = 489617694720.

The previous prime is 1284241321579. The next prime is 1284241321663. The reversal of 1284241321600 is 61231424821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20797972 + ... + 20859628.

It is an arithmetic number, because the mean of its divisors is an integer number (17302930395).

Almost surely, 2^{1284241321600} is an apocalyptic number.

1284241321600 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 1284241321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661081317920).

1284241321600 is an abundant number, since it is smaller than the sum of its proper divisors (2037921314240).

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

1284241321600 is a wasteful number, since it uses less digits than its factorization.

1284241321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61987 (or 61970 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 1284241321600 in words is "one trillion, two hundred eighty-four billion, two hundred forty-one million, three hundred twenty-one thousand, six hundred".