1284822200640 has 448 divisors, whose sum is σ = 4651952209920. Its totient is φ = 297603072000.

The previous prime is 1284822200633. The next prime is 1284822200663. The reversal of 1284822200640 is 460022284821.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 25836600 + ... + 25886280.

Almost surely, 2^{1284822200640} is an apocalyptic number.

1284822200640 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 1284822200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325976104960).

1284822200640 is an abundant number, since it is smaller than the sum of its proper divisors (3367130009280).

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

1284822200640 is a wasteful number, since it uses less digits than its factorization.

1284822200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49822 (or 49812 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 1284822200640 in words is "one trillion, two hundred eighty-four billion, eight hundred twenty-two million, two hundred thousand, six hundred forty".