198236989440 has 1152 divisors, whose sum is σ = 858574080000. Its totient is φ = 42854842368.

The previous prime is 198236989417. The next prime is 198236989451. The reversal of 198236989440 is 44989632891.

198236989440 is a `hidden beast` number, since 1 + 9 + 82 + 36 + 9 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×198236989440³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330946261 + ... + 330946859.

It is an arithmetic number, because the mean of its divisors is an integer number (745290000).

Almost surely, 2^198236989440 is an apocalyptic number.

198236989440 is a gapful number since it is divisible by the number (10) 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 198236989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040000).

198236989440 is an abundant number, since it is smaller than the sum of its proper divisors (660337090560).

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

198236989440 is an equidigital number, since it uses as much as digits as its factorization.

198236989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 198236989440 in words is "one hundred ninety-eight billion, two hundred thirty-six million, nine hundred eighty-nine thousand, four hundred forty".