198924989040 has 240 divisors, whose sum is σ = 682760988000. Its totient is φ = 51885250560.

The previous prime is 198924989027. The next prime is 198924989059. The reversal of 198924989040 is 40989429891.

198924989040 is a `hidden beast` number, since 19 + 8 + 9 + 2 + 498 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12623086 + ... + 12638834.

It is an arithmetic number, because the mean of its divisors is an integer number (2844837450).

Almost surely, 2^198924989040 is an apocalyptic number.

198924989040 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 198924989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341380494000).

198924989040 is an abundant number, since it is smaller than the sum of its proper divisors (483835998960).

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

198924989040 is a wasteful number, since it uses less digits than its factorization.

198924989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16152 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 198924989040 in words is "one hundred ninety-eight billion, nine hundred twenty-four million, nine hundred eighty-nine thousand, forty".