398820481228800 has 1680 divisors, whose sum is σ = 1535996271308400. Its totient is φ = 102172144435200.

The previous prime is 398820481228751. The next prime is 398820481228801. The reversal of 398820481228800 is 8822184028893.

398820481228800 is a `hidden beast` number, since 39 + 8 + 8 + 20 + 481 + 2 + 28 + 80 + 0 = 666.

It is a super-2 number, since 2×398820481228800² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398820481228801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101506865236 + ... + 101506869164.

Almost surely, 2^{398820481228800} is an apocalyptic number.

398820481228800 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 398820481228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767998135654200).

398820481228800 is an abundant number, since it is smaller than the sum of its proper divisors (1137175790079600).

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

398820481228800 is a wasteful number, since it uses less digits than its factorization.

398820481228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 398820481228800 in words is "three hundred ninety-eight trillion, eight hundred twenty billion, four hundred eighty-one million, two hundred twenty-eight thousand, eight hundred".