1348644810240 has 960 divisors, whose sum is σ = 5998752055296. Its totient is φ = 272167796736.

The previous prime is 1348644810229. The next prime is 1348644810241. The reversal of 1348644810240 is 420184468431.

1348644810240 is a `hidden beast` number, since 1 + 348 + 64 + 4 + 8 + 1 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348644810241) by changing a digit.

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, 48208737 + ... + 48236703.

Almost surely, 2^{1348644810240} is an apocalyptic number.

1348644810240 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 1348644810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999376027648).

1348644810240 is an abundant number, since it is smaller than the sum of its proper divisors (4650107245056).

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

1348644810240 is a wasteful number, since it uses less digits than its factorization.

1348644810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28039 (or 28020 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1348644810240 in words is "one trillion, three hundred forty-eight billion, six hundred forty-four million, eight hundred ten thousand, two hundred forty".