393441144393 has 64 divisors (see below), whose sum is σ = 621204111360. Its totient is φ = 218778470400.

The previous prime is 393441144373. The next prime is 393441144403.

393441144393 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 393441144393 - 2⁶ = 393441144329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (393441144373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33092496 + ... + 33104382.

It is an arithmetic number, because the mean of its divisors is an integer number (9706314240).

Almost surely, 2^393441144393 is an apocalyptic number.

393441144393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

393441144393 is a deficient number, since it is larger than the sum of its proper divisors (227762966967).

393441144393 is a wasteful number, since it uses less digits than its factorization.

393441144393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398.

The product of its digits is 1679616, while the sum is 48.

The spelling of 393441144393 in words is "three hundred ninety-three billion, four hundred forty-one million, one hundred forty-four thousand, three hundred ninety-three".