343143122440140 has 672 divisors, whose sum is σ = 1216945878220800. Its totient is φ = 80482915699200.

The previous prime is 343143122440103. The next prime is 343143122440177. The reversal of 343143122440140 is 41044221341343.

343143122440140 is a `hidden beast` number, since 3 + 4 + 31 + 43 + 1 + 2 + 2 + 440 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (343143122440103) and next prime (343143122440177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343143122440095 and 343143122440104.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 32997698661 + ... + 32997709059.

It is an arithmetic number, because the mean of its divisors is an integer number (1810931366400).

Almost surely, 2^{343143122440140} is an apocalyptic number.

343143122440140 is a gapful number since it is divisible by the number (30) 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 343143122440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608472939110400).

343143122440140 is an abundant number, since it is smaller than the sum of its proper divisors (873802755780660).

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

343143122440140 is a wasteful number, since it uses less digits than its factorization.

343143122440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17105 (or 17088 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 343143122440140 its reverse (41044221341343), we get a palindrome (384187343781483).

The spelling of 343143122440140 in words is "three hundred forty-three trillion, one hundred forty-three billion, one hundred twenty-two million, four hundred forty thousand, one hundred forty".