1307131338240 has 2880 divisors, whose sum is σ = 6235115927040. Its totient is φ = 251194245120.

The previous prime is 1307131338229. The next prime is 1307131338287. The reversal of 1307131338240 is 428331317031.

1307131338240 is a `hidden beast` number, since 1 + 3 + 0 + 71 + 313 + 38 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 1307131338195 and 1307131338204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42165527025 + ... + 42165527055.

It is an arithmetic number, because the mean of its divisors is an integer number (2164970808).

Almost surely, 2^{1307131338240} is an apocalyptic number.

1307131338240 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 1307131338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117557963520).

1307131338240 is an abundant number, since it is smaller than the sum of its proper divisors (4927984588800).

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

1307131338240 is a wasteful number, since it uses less digits than its factorization.

1307131338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1307131338240 in words is "one trillion, three hundred seven billion, one hundred thirty-one million, three hundred thirty-eight thousand, two hundred forty".