4340641114560 has 224 divisors, whose sum is σ = 14392505014272. Its totient is φ = 1106271682560.

The previous prime is 4340641114541. The next prime is 4340641114567. The reversal of 4340641114560 is 654111460434.

4340641114560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340641114567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27100632 + ... + 27260328.

It is an arithmetic number, because the mean of its divisors is an integer number (64252254528).

Almost surely, 2^{4340641114560} is an apocalyptic number.

4340641114560 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 4340641114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196252507136).

4340641114560 is an abundant number, since it is smaller than the sum of its proper divisors (10051863899712).

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

4340641114560 is a wasteful number, since it uses less digits than its factorization.

4340641114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160971 (or 160961 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 4340641114560 its reverse (654111460434), we get a palindrome (4994752574994).

The spelling of 4340641114560 in words is "four trillion, three hundred forty billion, six hundred forty-one million, one hundred fourteen thousand, five hundred sixty".