1349065957680 has 1440 divisors, whose sum is σ = 5828332962816. Its totient is φ = 288153427968.

The previous prime is 1349065957643. The next prime is 1349065957711. The reversal of 1349065957680 is 867595609431.

1349065957680 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 0 + 6 + 59 + 576 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 3675928857 + ... + 3675929223.

Almost surely, 2^{1349065957680} is an apocalyptic number.

1349065957680 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 1349065957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914166481408).

1349065957680 is an abundant number, since it is smaller than the sum of its proper divisors (4479267005136).

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

1349065957680 is a wasteful number, since it uses less digits than its factorization.

1349065957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 1349065957680 in words is "one trillion, three hundred forty-nine billion, sixty-five million, nine hundred fifty-seven thousand, six hundred eighty".