4340008673280 has 2688 divisors, whose sum is σ = 19785169797120. Its totient is φ = 856141332480.

The previous prime is 4340008673249. The next prime is 4340008673281. The reversal of 4340008673280 is 823768000434.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340008673281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34173296577 + ... + 34173296703.

It is an arithmetic number, because the mean of its divisors is an integer number (7360554240).

Almost surely, 2^{4340008673280} is an apocalyptic number.

4340008673280 is a gapful number since it is divisible by the number (40) 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 4340008673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892584898560).

4340008673280 is an abundant number, since it is smaller than the sum of its proper divisors (15445161123840).

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

4340008673280 is a wasteful number, since it uses less digits than its factorization.

4340008673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4340008673280 in words is "four trillion, three hundred forty billion, eight million, six hundred seventy-three thousand, two hundred eighty".