198742362229440 has 560 divisors, whose sum is σ = 710309337661440. Its totient is φ = 52747240089600.

The previous prime is 198742362229391. The next prime is 198742362229459. The reversal of 198742362229440 is 44922263247891.

198742362229440 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 4 + 2 + 362 + 229 + 4 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12780029665 + ... + 12780045215.

Almost surely, 2^{198742362229440} is an apocalyptic number.

198742362229440 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 198742362229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355154668830720).

198742362229440 is an abundant number, since it is smaller than the sum of its proper divisors (511566975432000).

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

198742362229440 is a wasteful number, since it uses less digits than its factorization.

198742362229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17863 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 198742362229440 in words is "one hundred ninety-eight trillion, seven hundred forty-two billion, three hundred sixty-two million, two hundred twenty-nine thousand, four hundred forty".