199242426240 has 2304 divisors, whose sum is σ = 919158589440. Its totient is φ = 40609382400.

The previous prime is 199242426193. The next prime is 199242426247. The reversal of 199242426240 is 42624242991.

It is a happy number.

199242426240 is a `hidden beast` number, since 19 + 9 + 2 + 4 + 2 + 4 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199242426247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6427175025 + ... + 6427175055.

It is an arithmetic number, because the mean of its divisors is an integer number (398940360).

Almost surely, 2^199242426240 is an apocalyptic number.

199242426240 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 199242426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459579294720).

199242426240 is an abundant number, since it is smaller than the sum of its proper divisors (719916163200).

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

199242426240 is a wasteful number, since it uses less digits than its factorization.

199242426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 199242426240 in words is "one hundred ninety-nine billion, two hundred forty-two million, four hundred twenty-six thousand, two hundred forty".