198777442240 has 448 divisors, whose sum is σ = 564366216960. Its totient is φ = 65977712640.

The previous prime is 198777442229. The next prime is 198777442243. The reversal of 198777442240 is 42244777891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198777442243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211240170 + ... + 211241110.

It is an arithmetic number, because the mean of its divisors is an integer number (1259746020).

Almost surely, 2^198777442240 is an apocalyptic number.

198777442240 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 198777442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282183108480).

198777442240 is an abundant number, since it is smaller than the sum of its proper divisors (365588774720).

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

198777442240 is a wasteful number, since it uses less digits than its factorization.

198777442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 198777442240 in words is "one hundred ninety-eight billion, seven hundred seventy-seven million, four hundred forty-two thousand, two hundred forty".