340230413013040 has 320 divisors, whose sum is σ = 896536077840000. Its totient is φ = 118983048560640.

The previous prime is 340230413013037. The next prime is 340230413013103. The reversal of 340230413013040 is 40310314032043.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9183236436 + ... + 9183273484.

It is an arithmetic number, because the mean of its divisors is an integer number (2801675243250).

Almost surely, 2^{340230413013040} 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 340230413013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448268038920000).

340230413013040 is an abundant number, since it is smaller than the sum of its proper divisors (556305664826960).

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

340230413013040 is a wasteful number, since it uses less digits than its factorization.

340230413013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40368 (or 40362 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 340230413013040 its reverse (40310314032043), we get a palindrome (380540727045083).

The spelling of 340230413013040 in words is "three hundred forty trillion, two hundred thirty billion, four hundred thirteen million, thirteen thousand, forty".