1347305707040 has 96 divisors (see below), whose sum is σ = 3232997530560. Its totient is φ = 530505667584.

The previous prime is 1347305707037. The next prime is 1347305707073. The reversal of 1347305707040 is 407075037431.

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 15 ways as a sum of consecutive naturals, for example, 3495431 + ... + 3861689.

It is an arithmetic number, because the mean of its divisors is an integer number (33677057610).

Almost surely, 2^{1347305707040} is an apocalyptic number.

1347305707040 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 1347305707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616498765280).

1347305707040 is an abundant number, since it is smaller than the sum of its proper divisors (1885691823520).

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

1347305707040 is a wasteful number, since it uses less digits than its factorization.

1347305707040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366634 (or 366626 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 41.

The spelling of 1347305707040 in words is "one trillion, three hundred forty-seven billion, three hundred five million, seven hundred seven thousand, forty".