1349328144960 has 784 divisors, whose sum is σ = 5006950526592. Its totient is φ = 345926246400.

The previous prime is 1349328144947. The next prime is 1349328145003. The reversal of 1349328144960 is 694418239431.

1349328144960 is a `hidden beast` number, since 1 + 3 + 49 + 32 + 81 + 4 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1349328144897 and 1349328144906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 679077087 + ... + 679079073.

It is an arithmetic number, because the mean of its divisors is an integer number (6386416488).

Almost surely, 2^{1349328144960} is an apocalyptic number.

1349328144960 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 1349328144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503475263296).

1349328144960 is an abundant number, since it is smaller than the sum of its proper divisors (3657622381632).

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

1349328144960 is an equidigital number, since it uses as much as digits as its factorization.

1349328144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1349328144960 in words is "one trillion, three hundred forty-nine billion, three hundred twenty-eight million, one hundred forty-four thousand, nine hundred sixty".