398408997549312 has 864 divisors, whose sum is σ = 1241234699228160. Its totient is φ = 122652278784000.

The previous prime is 398408997549293. The next prime is 398408997549317. The reversal of 398408997549312 is 213945799804893.

398408997549312 is a `hidden beast` number, since 3 + 9 + 8 + 40 + 8 + 9 + 9 + 75 + 493 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398408997549317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61096300612 + ... + 61096307132.

Almost surely, 2^{398408997549312} is an apocalyptic number.

398408997549312 is a gapful number since it is divisible by the number (32) 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 398408997549312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620617349614080).

398408997549312 is an abundant number, since it is smaller than the sum of its proper divisors (842825701678848).

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

398408997549312 is a wasteful number, since it uses less digits than its factorization.

398408997549312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 398408997549312 in words is "three hundred ninety-eight trillion, four hundred eight billion, nine hundred ninety-seven million, five hundred forty-nine thousand, three hundred twelve".