1309795217640 has 576 divisors, whose sum is σ = 5289387143040. Its totient is φ = 275228928000.

The previous prime is 1309795217617. The next prime is 1309795217669. The reversal of 1309795217640 is 467125979031.

1309795217640 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 9 + 521 + 76 + 40 = 666.

It is a super-2 number, since 2×1309795217640² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106889754 + ... + 106902006.

It is an arithmetic number, because the mean of its divisors is an integer number (9182963790).

Almost surely, 2^{1309795217640} is an apocalyptic number.

1309795217640 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 1309795217640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644693571520).

1309795217640 is an abundant number, since it is smaller than the sum of its proper divisors (3979591925400).

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

1309795217640 is a wasteful number, since it uses less digits than its factorization.

1309795217640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 1309795217640 in words is "one trillion, three hundred nine billion, seven hundred ninety-five million, two hundred seventeen thousand, six hundred forty".