397518216519424 has 288 divisors, whose sum is σ = 1065447841683456. Its totient is φ = 142954037084160.

The previous prime is 397518216519407. The next prime is 397518216519433. The reversal of 397518216519424 is 424915612815793.

It is a super-3 number, since 3×397518216519424³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 397518216519424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645109724 + ... + 4645195300.

It is an arithmetic number, because the mean of its divisors is an integer number (3699471672512).

Almost surely, 2^{397518216519424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397518216519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532723920841728).

397518216519424 is an abundant number, since it is smaller than the sum of its proper divisors (667929625164032).

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

397518216519424 is a wasteful number, since it uses less digits than its factorization.

397518216519424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103751 (or 103737 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 67.

The spelling of 397518216519424 in words is "three hundred ninety-seven trillion, five hundred eighteen billion, two hundred sixteen million, five hundred nineteen thousand, four hundred twenty-four".