398121583354560 has 336 divisors, whose sum is σ = 1476022040953824. Its totient is φ = 97911883137024.

The previous prime is 398121583354553. The next prime is 398121583354739. The reversal of 398121583354560 is 65453385121893.

398121583354560 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 2 + 1 + 5 + 83 + 3 + 545 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37310664 + ... + 46779576.

It is an arithmetic number, because the mean of its divisors is an integer number (4392922740934).

Almost surely, 2^{398121583354560} is an apocalyptic number.

398121583354560 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 398121583354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738011020476912).

398121583354560 is an abundant number, since it is smaller than the sum of its proper divisors (1077900457599264).

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

398121583354560 is a wasteful number, since it uses less digits than its factorization.

398121583354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470072 (or 9470059 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 398121583354560 in words is "three hundred ninety-eight trillion, one hundred twenty-one billion, five hundred eighty-three million, three hundred fifty-four thousand, five hundred sixty".