1340821348740 has 288 divisors, whose sum is σ = 4286879251200. Its totient is φ = 338567961600.

The previous prime is 1340821348687. The next prime is 1340821348753. The reversal of 1340821348740 is 478431280431.

1340821348740 is a `hidden beast` number, since 1 + 3 + 40 + 82 + 13 + 487 + 40 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169698790 + ... + 169706690.

It is an arithmetic number, because the mean of its divisors is an integer number (14884997400).

Almost surely, 2^{1340821348740} is an apocalyptic number.

1340821348740 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 1340821348740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143439625600).

1340821348740 is an abundant number, since it is smaller than the sum of its proper divisors (2946057902460).

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

1340821348740 is a wasteful number, since it uses less digits than its factorization.

1340821348740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1340821348740 in words is "one trillion, three hundred forty billion, eight hundred twenty-one million, three hundred forty-eight thousand, seven hundred forty".