398209932120 has 1024 divisors, whose sum is σ = 1701181440000. Its totient is φ = 71812915200.

The previous prime is 398209932079. The next prime is 398209932151. The reversal of 398209932120 is 21239902893.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 398209932120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 340059135 + ... + 340060305.

It is an arithmetic number, because the mean of its divisors is an integer number (1661310000).

Almost surely, 2^398209932120 is an apocalyptic number.

398209932120 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 398209932120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850590720000).

398209932120 is an abundant number, since it is smaller than the sum of its proper divisors (1302971507880).

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

398209932120 is a wasteful number, since it uses less digits than its factorization.

398209932120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 398209932120 in words is "three hundred ninety-eight billion, two hundred nine million, nine hundred thirty-two thousand, one hundred twenty".