398120832000 has 1760 divisors, whose sum is σ = 1632118625280. Its totient is φ = 96148684800.

The previous prime is 398120831987. The next prime is 398120832001. The reversal of 398120832000 is 238021893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (398120832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8470655977 + ... + 8470656023.

It is an arithmetic number, because the mean of its divisors is an integer number (927340128).

Almost surely, 2^398120832000 is an apocalyptic number.

398120832000 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 398120832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816059312640).

398120832000 is an abundant number, since it is smaller than the sum of its proper divisors (1233997793280).

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

398120832000 is a wasteful number, since it uses less digits than its factorization.

398120832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 398120832000 its reverse (238021893), we get a palindrome (398358853893).

The spelling of 398120832000 in words is "three hundred ninety-eight billion, one hundred twenty million, eight hundred thirty-two thousand".