1340483801760 has 288 divisors, whose sum is σ = 4970489771520. Its totient is φ = 327724185600.

The previous prime is 1340483801747. The next prime is 1340483801801. The reversal of 1340483801760 is 671083840431.

1340483801760 is a `hidden beast` number, since 1 + 34 + 0 + 483 + 80 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57930 + ... + 1638390.

It is an arithmetic number, because the mean of its divisors is an integer number (17258645040).

Almost surely, 2^{1340483801760} is an apocalyptic number.

1340483801760 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 1340483801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485244885760).

1340483801760 is an abundant number, since it is smaller than the sum of its proper divisors (3630005969760).

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

1340483801760 is a wasteful number, since it uses less digits than its factorization.

1340483801760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580532 (or 1580521 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1340483801760 in words is "one trillion, three hundred forty billion, four hundred eighty-three million, eight hundred one thousand, seven hundred sixty".