1307205708480 has 2352 divisors, whose sum is σ = 5954658753600. Its totient is φ = 272142581760.

The previous prime is 1307205708343. The next prime is 1307205708517. The reversal of 1307205708480 is 848075027031.

1307205708480 is a `hidden beast` number, since 1 + 3 + 0 + 72 + 0 + 570 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 42167926065 + ... + 42167926095.

Almost surely, 2^{1307205708480} is an apocalyptic number.

1307205708480 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 1307205708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977329376800).

1307205708480 is an abundant number, since it is smaller than the sum of its proper divisors (4647453045120).

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

1307205708480 is an frugal number, since it uses more digits than its factorization.

1307205708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1307205708480 in words is "one trillion, three hundred seven billion, two hundred five million, seven hundred eight thousand, four hundred eighty".