398318389920 has 1152 divisors, whose sum is σ = 1618549309440. Its totient is φ = 91284019200.

The previous prime is 398318389919. The next prime is 398318389943. The reversal of 398318389920 is 29983813893.

398318389920 is a `hidden beast` number, since 398 + 3 + 1 + 83 + 89 + 92 + 0 = 666.

It is a super-2 number, since 2×398318389920² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 761602779 + ... + 761603301.

It is an arithmetic number, because the mean of its divisors is an integer number (1404990720).

Almost surely, 2^398318389920 is an apocalyptic number.

398318389920 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 398318389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809274654720).

398318389920 is an abundant number, since it is smaller than the sum of its proper divisors (1220230919520).

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

398318389920 is a wasteful number, since it uses less digits than its factorization.

398318389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 398318389920 in words is "three hundred ninety-eight billion, three hundred eighteen million, three hundred eighty-nine thousand, nine hundred twenty".