398184242960160 has 480 divisors, whose sum is σ = 1424052622681920. Its totient is φ = 104771745257472.

The previous prime is 398184242960123. The next prime is 398184242960209. The reversal of 398184242960160 is 61069242481893.

398184242960160 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 8 + 42 + 429 + 6 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 292956694 + ... + 294312746.

It is an arithmetic number, because the mean of its divisors is an integer number (2966776297254).

Almost surely, 2^{398184242960160} is an apocalyptic number.

398184242960160 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 398184242960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712026311340960).

398184242960160 is an abundant number, since it is smaller than the sum of its proper divisors (1025868379721760).

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

398184242960160 is a wasteful number, since it uses less digits than its factorization.

398184242960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356382 (or 1356365 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 398184242960160 in words is "three hundred ninety-eight trillion, one hundred eighty-four billion, two hundred forty-two million, nine hundred sixty thousand, one hundred sixty".