398968112480 has 288 divisors, whose sum is σ = 1119261701376. Its totient is φ = 131644090368.

The previous prime is 398968112467. The next prime is 398968112519. The reversal of 398968112480 is 84211869893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439876187 + ... + 439877093.

It is an arithmetic number, because the mean of its divisors is an integer number (3886325352).

Almost surely, 2^398968112480 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 398968112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559630850688).

398968112480 is an abundant number, since it is smaller than the sum of its proper divisors (720293588896).

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

398968112480 is a wasteful number, since it uses less digits than its factorization.

398968112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 59.

The spelling of 398968112480 in words is "three hundred ninety-eight billion, nine hundred sixty-eight million, one hundred twelve thousand, four hundred eighty".