398418856704 has 720 divisors, whose sum is σ = 1348346675200. Its totient is φ = 115918387200.

The previous prime is 398418856691. The next prime is 398418856711. The reversal of 398418856704 is 407658814893.

398418856704 is a `hidden beast` number, since 398 + 4 + 188 + 5 + 67 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3137156289 + ... + 3137156415.

Almost surely, 2^398418856704 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 398418856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674173337600).

398418856704 is an abundant number, since it is smaller than the sum of its proper divisors (949927818496).

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

398418856704 is an equidigital number, since it uses as much as digits as its factorization.

398418856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 398418856704 in words is "three hundred ninety-eight billion, four hundred eighteen million, eight hundred fifty-six thousand, seven hundred four".