1307967392960 has 112 divisors (see below), whose sum is σ = 3337853558976. Its totient is φ = 486914199552.

The previous prime is 1307967392951. The next prime is 1307967392969. The reversal of 1307967392960 is 692937697031.

It is an interprime number because it is at equal distance from previous prime (1307967392951) and next prime (1307967392969).

It is a junction number, because it is equal to n+sod(n) for n = 1307967392893 and 1307967392902.

It is not an unprimeable number, because it can be changed into a prime (1307967392969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2129207 + ... + 2673846.

Almost surely, 2^{1307967392960} is an apocalyptic number.

1307967392960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307967392960 is an abundant number, since it is smaller than the sum of its proper divisors (2029886166016).

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

1307967392960 is a wasteful number, since it uses less digits than its factorization.

1307967392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803130 (or 4803120 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 62.

The spelling of 1307967392960 in words is "one trillion, three hundred seven billion, nine hundred sixty-seven million, three hundred ninety-two thousand, nine hundred sixty".