1307242465056 has 432 divisors, whose sum is σ = 4281148295424. Its totient is φ = 377612928000.

The previous prime is 1307242465031. The next prime is 1307242465073. The reversal of 1307242465056 is 6505642427031.

1307242465056 is a `hidden beast` number, since 1 + 30 + 72 + 4 + 2 + 46 + 505 + 6 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 72370266 + ... + 72388326.

Almost surely, 2^{1307242465056} is an apocalyptic number.

1307242465056 is a gapful number since it is divisible by the number (16) 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 1307242465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140574147712).

1307242465056 is an abundant number, since it is smaller than the sum of its proper divisors (2973905830368).

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

1307242465056 is a wasteful number, since it uses less digits than its factorization.

1307242465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197 (or 18175 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1307242465056 in words is "one trillion, three hundred seven billion, two hundred forty-two million, four hundred sixty-five thousand, fifty-six".