1341284868000 has 576 divisors, whose sum is σ = 5934832001280. Its totient is φ = 278707968000.

The previous prime is 1341284867963. The next prime is 1341284868013. The reversal of 1341284868000 is 8684821431.

1341284868000 is a `hidden beast` number, since 1 + 3 + 412 + 84 + 86 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2530066 + ... + 3013934.

It is an arithmetic number, because the mean of its divisors is an integer number (10303527780).

Almost surely, 2^{1341284868000} is an apocalyptic number.

1341284868000 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 1341284868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967416000640).

1341284868000 is an abundant number, since it is smaller than the sum of its proper divisors (4593547133280).

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

1341284868000 is a wasteful number, since it uses less digits than its factorization.

1341284868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483918 (or 483897 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1341284868000 in words is "one trillion, three hundred forty-one billion, two hundred eighty-four million, eight hundred sixty-eight thousand".