398654325189120 has 3840 divisors, whose sum is σ = 1772246797516800. Its totient is φ = 75744726220800.

The previous prime is 398654325189103. The next prime is 398654325189149. The reversal of 398654325189120 is 21981523456893.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 621925624000 + ... + 621925624640.

It is an arithmetic number, because the mean of its divisors is an integer number (461522603520).

Almost surely, 2^{398654325189120} is an apocalyptic number.

398654325189120 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 398654325189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886123398758400).

398654325189120 is an abundant number, since it is smaller than the sum of its proper divisors (1373592472327680).

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

398654325189120 is a wasteful number, since it uses less digits than its factorization.

398654325189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 66.

The spelling of 398654325189120 in words is "three hundred ninety-eight trillion, six hundred fifty-four billion, three hundred twenty-five million, one hundred eighty-nine thousand, one hundred twenty".