198993961440 has 192 divisors, whose sum is σ = 697760421120. Its totient is φ = 52967416320.

The previous prime is 198993961433. The next prime is 198993961447. The reversal of 198993961440 is 44169399891.

198993961440 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 9 + 3 + 9 + 614 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (198993961433) and next prime (198993961447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198993961447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320935 + ... + 2405145.

It is an arithmetic number, because the mean of its divisors is an integer number (3634168860).

Almost surely, 2^198993961440 is an apocalyptic number.

198993961440 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 198993961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348880210560).

198993961440 is an abundant number, since it is smaller than the sum of its proper divisors (498766459680).

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

198993961440 is a wasteful number, since it uses less digits than its factorization.

198993961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84782 (or 84768 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 198993961440 in words is "one hundred ninety-eight billion, nine hundred ninety-three million, nine hundred sixty-one thousand, four hundred forty".