198409727370240 has 1232 divisors, whose sum is σ = 723615934308336. Its totient is φ = 52171112448000.

The previous prime is 198409727370193. The next prime is 198409727370271. The reversal of 198409727370240 is 42073727904891.

198409727370240 is a `hidden beast` number, since 1 + 9 + 8 + 409 + 72 + 73 + 70 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 191102976 + 198409536267264 = 13824^2 + 14085792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 105931513944 + ... + 105931515816.

Almost surely, 2^{198409727370240} is an apocalyptic number.

198409727370240 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 198409727370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361807967154168).

198409727370240 is an abundant number, since it is smaller than the sum of its proper divisors (525206206938096).

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

198409727370240 is a wasteful number, since it uses less digits than its factorization.

198409727370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 198409727370240 in words is "one hundred ninety-eight trillion, four hundred nine billion, seven hundred twenty-seven million, three hundred seventy thousand, two hundred forty".