1340728888752 has 240 divisors, whose sum is σ = 4228016532480. Its totient is φ = 392925427200.

The previous prime is 1340728888739. The next prime is 1340728888801. The reversal of 1340728888752 is 2578888270431.

1340728888752 is a `hidden beast` number, since 1 + 3 + 407 + 2 + 88 + 88 + 75 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1340728888752.

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 47 ways as a sum of consecutive naturals, for example, 85776874 + ... + 85792502.

It is an arithmetic number, because the mean of its divisors is an integer number (17616735552).

Almost surely, 2^{1340728888752} is an apocalyptic number.

1340728888752 is a gapful number since it is divisible by the number (12) 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 1340728888752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114008266240).

1340728888752 is an abundant number, since it is smaller than the sum of its proper divisors (2887287643728).

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

1340728888752 is a wasteful number, since it uses less digits than its factorization.

1340728888752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17432 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 1340728888752 in words is "one trillion, three hundred forty billion, seven hundred twenty-eight million, eight hundred eighty-eight thousand, seven hundred fifty-two".