1309130173440 has 704 divisors, whose sum is σ = 4748075781120. Its totient is φ = 341985853440.

The previous prime is 1309130173411. The next prime is 1309130173441. The reversal of 1309130173440 is 443710319031.

It is a happy number.

1309130173440 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 1 + 301 + 7 + 344 + 0 = 666.

It is a super-2 number, since 2×1309130173440² (a number of 25 digits) contains 22 as substring.

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 = 1309130173395 and 1309130173404.

It is not an unprimeable number, because it can be changed into a prime (1309130173441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2602644229 + ... + 2602644731.

Almost surely, 2^{1309130173440} is an apocalyptic number.

1309130173440 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 1309130173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374037890560).

1309130173440 is an abundant number, since it is smaller than the sum of its proper divisors (3438945607680).

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

1309130173440 is a wasteful number, since it uses less digits than its factorization.

1309130173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1309130173440 in words is "one trillion, three hundred nine billion, one hundred thirty million, one hundred seventy-three thousand, four hundred forty".