1307442445560 has 640 divisors, whose sum is σ = 4763191910400. Its totient is φ = 320707537920.

The previous prime is 1307442445541. The next prime is 1307442445613. The reversal of 1307442445560 is 655442447031.

1307442445560 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 4 + 42 + 4 + 45 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 385788346 + ... + 385791734.

It is an arithmetic number, because the mean of its divisors is an integer number (7442487360).

Almost surely, 2^{1307442445560} is an apocalyptic number.

1307442445560 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 1307442445560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381595955200).

1307442445560 is an abundant number, since it is smaller than the sum of its proper divisors (3455749464840).

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

1307442445560 is a wasteful number, since it uses less digits than its factorization.

1307442445560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 1307442445560 in words is "one trillion, three hundred seven billion, four hundred forty-two million, four hundred forty-five thousand, five hundred sixty".