340309130144360 has 128 divisors (see below), whose sum is σ = 833196666345120. Its totient is φ = 124342214787072.

The previous prime is 340309130144311. The next prime is 340309130144377. The reversal of 340309130144360 is 63441031903043.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 49539722094916 + 290769408049444 = 7038446^2 + 17051962^2 .

It is a super-2 number, since 2×340309130144360² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422133182 + ... + 422938578.

Almost surely, 2^{340309130144360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340309130144360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416598333172560).

340309130144360 is an abundant number, since it is smaller than the sum of its proper divisors (492887536200760).

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

340309130144360 is a wasteful number, since it uses less digits than its factorization.

340309130144360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813895 (or 813891 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 340309130144360 in words is "three hundred forty trillion, three hundred nine billion, one hundred thirty million, one hundred forty-four thousand, three hundred sixty".