398369221200 has 480 divisors, whose sum is σ = 1529669059200. Its totient is φ = 98093998080.

The previous prime is 398369221177. The next prime is 398369221207. The reversal of 398369221200 is 2122963893.

It is a happy number.

398369221200 is a `hidden beast` number, since 398 + 36 + 9 + 2 + 21 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398369221207) 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, 9710331 + ... + 9751269.

It is an arithmetic number, because the mean of its divisors is an integer number (3186810540).

Almost surely, 2^398369221200 is an apocalyptic number.

398369221200 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 398369221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764834529600).

398369221200 is an abundant number, since it is smaller than the sum of its proper divisors (1131299838000).

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

398369221200 is a wasteful number, since it uses less digits than its factorization.

398369221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41036 (or 41019 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 398369221200 in words is "three hundred ninety-eight billion, three hundred sixty-nine million, two hundred twenty-one thousand, two hundred".