398745192960 has 1440 divisors, whose sum is σ = 1597386510720. Its totient is φ = 95033917440.

The previous prime is 398745192949. The next prime is 398745192973. The reversal of 398745192960 is 69291547893.

398745192960 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 451 + 92 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12862748145 + ... + 12862748175.

It is an arithmetic number, because the mean of its divisors is an integer number (1109296188).

It is a 1-persistent number, because it is pandigital, but 2⋅398745192960 = 797490385920 is not.

Almost surely, 2^398745192960 is an apocalyptic number.

398745192960 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 398745192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798693255360).

398745192960 is an abundant number, since it is smaller than the sum of its proper divisors (1198641317760).

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

398745192960 is an equidigital number, since it uses as much as digits as its factorization.

398745192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 398745192960 in words is "three hundred ninety-eight billion, seven hundred forty-five million, one hundred ninety-two thousand, nine hundred sixty".