340705262124040 has 256 divisors, whose sum is σ = 844152545134080. Its totient is φ = 122732877864960.

The previous prime is 340705262123939. The next prime is 340705262124121. The reversal of 340705262124040 is 40421262507043.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 340705262123984 and 340705262124002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18413505429 + ... + 18413523931.

It is an arithmetic number, because the mean of its divisors is an integer number (3297470879430).

Almost surely, 2^{340705262124040} 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 340705262124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422076272567040).

340705262124040 is an abundant number, since it is smaller than the sum of its proper divisors (503447283010040).

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

340705262124040 is a wasteful number, since it uses less digits than its factorization.

340705262124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19664 (or 19660 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 340705262124040 in words is "three hundred forty trillion, seven hundred five billion, two hundred sixty-two million, one hundred twenty-four thousand, forty".