398224512000 has 2112 divisors, whose sum is σ = 1785397985280. Its totient is φ = 86593536000.

The previous prime is 398224511987. The next prime is 398224512041. The reversal of 398224512000 is 215422893.

It is a happy number.

398224512000 is a `hidden beast` number, since 398 + 2 + 245 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6749567971 + ... + 6749568029.

Almost surely, 2^398224512000 is an apocalyptic number.

398224512000 is a gapful number since it is divisible by the number (30) 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 398224512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892698992640).

398224512000 is an abundant number, since it is smaller than the sum of its proper divisors (1387173473280).

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

398224512000 is an equidigital number, since it uses as much as digits as its factorization.

398224512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 398224512000 its reverse (215422893), we get a palindrome (398439934893).

The spelling of 398224512000 in words is "three hundred ninety-eight billion, two hundred twenty-four million, five hundred twelve thousand".