4340317683408 has 160 divisors (see below), whose sum is σ = 13385828966400. Its totient is φ = 1184894988288.

The previous prime is 4340317683379. The next prime is 4340317683413. The reversal of 4340317683408 is 8043867130434.

It is a congruent number.

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, 6877033 + ... + 7481591.

It is an arithmetic number, because the mean of its divisors is an integer number (83661431040).

Almost surely, 2^{4340317683408} is an apocalyptic number.

4340317683408 is a gapful number since it is divisible by the number (48) 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 4340317683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692914483200).

4340317683408 is an abundant number, since it is smaller than the sum of its proper divisors (9045511282992).

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

4340317683408 is a wasteful number, since it uses less digits than its factorization.

4340317683408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605529 (or 605523 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 4340317683408 in words is "four trillion, three hundred forty billion, three hundred seventeen million, six hundred eighty-three thousand, four hundred eight".