4399935463680 has 576 divisors, whose sum is σ = 15007515667200. Its totient is φ = 1098487627776.

The previous prime is 4399935463673. The next prime is 4399935463733. The reversal of 4399935463680 is 863645399934.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2344130902 + ... + 2344132778.

It is an arithmetic number, because the mean of its divisors is an integer number (26054714700).

Almost surely, 2^{4399935463680} is an apocalyptic number.

4399935463680 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 4399935463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503757833600).

4399935463680 is an abundant number, since it is smaller than the sum of its proper divisors (10607580203520).

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

4399935463680 is an equidigital number, since it uses as much as digits as its factorization.

4399935463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 69.

The spelling of 4399935463680 in words is "four trillion, three hundred ninety-nine billion, nine hundred thirty-five million, four hundred sixty-three thousand, six hundred eighty".