1320310039680 has 512 divisors, whose sum is σ = 4767102028800. Its totient is φ = 345266012160.

The previous prime is 1320310039679. The next prime is 1320310039693. The reversal of 1320310039680 is 869300130231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386845654 + ... + 386849066.

It is an arithmetic number, because the mean of its divisors is an integer number (9310746150).

Almost surely, 2^{1320310039680} is an apocalyptic number.

1320310039680 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 1320310039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383551014400).

1320310039680 is an abundant number, since it is smaller than the sum of its proper divisors (3446791989120).

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

1320310039680 is a wasteful number, since it uses less digits than its factorization.

1320310039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1320310039680 in words is "one trillion, three hundred twenty billion, three hundred ten million, thirty-nine thousand, six hundred eighty".