1310384455680 has 400 divisors, whose sum is σ = 4329326905344. Its totient is φ = 338228674560.

The previous prime is 1310384455649. The next prime is 1310384455747. The reversal of 1310384455680 is 865544830131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10317987777 + ... + 10317987903.

Almost surely, 2^{1310384455680} is an apocalyptic number.

1310384455680 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 1310384455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164663452672).

1310384455680 is an abundant number, since it is smaller than the sum of its proper divisors (3018942449664).

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

1310384455680 is an frugal number, since it uses more digits than its factorization.

1310384455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 1310384455680 in words is "one trillion, three hundred ten billion, three hundred eighty-four million, four hundred fifty-five thousand, six hundred eighty".