398416684843008 has 1632 divisors, whose sum is σ = 1338186256444800. Its totient is φ = 116430125137920.

The previous prime is 398416684843007. The next prime is 398416684843097. The reversal of 398416684843008 is 800348486614893.

398416684843008 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 166 + 84 + 84 + 300 + 8 = 666.

It is a super-2 number, since 2×398416684843008² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398416684843007) 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, 1481102917498 + ... + 1481102917766.

It is an arithmetic number, because the mean of its divisors is an integer number (819967068900).

Almost surely, 2^{398416684843008} 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 398416684843008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669093128222400).

398416684843008 is an abundant number, since it is smaller than the sum of its proper divisors (939769571601792).

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

398416684843008 is an equidigital number, since it uses as much as digits as its factorization.

398416684843008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 398416684843008 in words is "three hundred ninety-eight trillion, four hundred sixteen billion, six hundred eighty-four million, eight hundred forty-three thousand, eight".