198910837440 has 672 divisors, whose sum is σ = 835885080576. Its totient is φ = 42423828480.

The previous prime is 198910837429. The next prime is 198910837511. The reversal of 198910837440 is 44738019891.

198910837440 is a `hidden beast` number, since 1 + 98 + 9 + 108 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19005649 + ... + 19016111.

It is an arithmetic number, because the mean of its divisors is an integer number (1243876608).

Almost surely, 2^198910837440 is an apocalyptic number.

198910837440 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 198910837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417942540288).

198910837440 is an abundant number, since it is smaller than the sum of its proper divisors (636974243136).

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

198910837440 is a wasteful number, since it uses less digits than its factorization.

198910837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 198910837440 in words is "one hundred ninety-eight billion, nine hundred ten million, eight hundred thirty-seven thousand, four hundred forty".