4348935405440 has 64 divisors (see below), whose sum is σ = 10567111072320. Its totient is φ = 1711056537600.

The previous prime is 4348935405407. The next prime is 4348935405469. The reversal of 4348935405440 is 445045398434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55659416 + ... + 55737495.

It is an arithmetic number, because the mean of its divisors is an integer number (165111110505).

Almost surely, 2^{4348935405440} is an apocalyptic number.

4348935405440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4348935405440 is an abundant number, since it is smaller than the sum of its proper divisors (6218175666880).

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

4348935405440 is a wasteful number, since it uses less digits than its factorization.

4348935405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111396991 (or 111396979 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 53.

The spelling of 4348935405440 in words is "four trillion, three hundred forty-eight billion, nine hundred thirty-five million, four hundred five thousand, four hundred forty".