1307197440000 has 900 divisors, whose sum is σ = 4905009577314. Its totient is φ = 346816512000.

The previous prime is 1307197439971. The next prime is 1307197440053. The reversal of 1307197440000 is 447917031.

It can be written as a sum of positive squares in 5 ways, for example, as 227460317184 + 1079737122816 = 476928^2 + 1039104^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6635519902 + ... + 6635520098.

Almost surely, 2^{1307197440000} is an apocalyptic number.

1307197440000 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 1307197440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452504788657).

1307197440000 is an abundant number, since it is smaller than the sum of its proper divisors (3597812137314).

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

1307197440000 is an frugal number, since it uses more digits than its factorization.

1307197440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1307197440000 in words is "one trillion, three hundred seven billion, one hundred ninety-seven million, four hundred forty thousand".