1307457973260 has 480 divisors, whose sum is σ = 4542412754880. Its totient is φ = 313528320000.

The previous prime is 1307457973253. The next prime is 1307457973291. The reversal of 1307457973260 is 623797547031.

1307457973260 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 4 + 579 + 7 + 3 + 2 + 60 = 666.

It is a super-2 number, since 2×1307457973260² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1307457973197 and 1307457973206.

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, 46679260 + ... + 46707260.

It is an arithmetic number, because the mean of its divisors is an integer number (9463359906).

Almost surely, 2^{1307457973260} is an apocalyptic number.

1307457973260 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 1307457973260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271206377440).

1307457973260 is an abundant number, since it is smaller than the sum of its proper divisors (3234954781620).

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

1307457973260 is a wasteful number, since it uses less digits than its factorization.

1307457973260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28119 (or 28108 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 1307457973260 in words is "one trillion, three hundred seven billion, four hundred fifty-seven million, nine hundred seventy-three thousand, two hundred sixty".