340324317040 has 240 divisors, whose sum is σ = 851378454720. Its totient is φ = 126470615040.

The previous prime is 340324316989. The next prime is 340324317061. The reversal of 340324317040 is 40713423043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 340324316993 and 340324317011.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 551578812 + ... + 551579428.

It is an arithmetic number, because the mean of its divisors is an integer number (3547410228).

Almost surely, 2^340324317040 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 340324317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425689227360).

340324317040 is an abundant number, since it is smaller than the sum of its proper divisors (511054137680).

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

340324317040 is a wasteful number, since it uses less digits than its factorization.

340324317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The spelling of 340324317040 in words is "three hundred forty billion, three hundred twenty-four million, three hundred seventeen thousand, forty".