200342905485120 has 560 divisors, whose sum is σ = 722103629409360. Its totient is φ = 52720581279744.

The previous prime is 200342905485101. The next prime is 200342905485211. The reversal of 200342905485120 is 21584509243002.

200342905485120 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 4 + 2 + 90 + 5 + 48 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4017074181696 + 196325831303424 = 2004264^2 + 14011632^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 670582494 + ... + 670881186.

Almost surely, 2^{200342905485120} is an apocalyptic number.

200342905485120 is a gapful number since it is divisible by the number (20) 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 200342905485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361051814704680).

200342905485120 is an abundant number, since it is smaller than the sum of its proper divisors (521760723924240).

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

200342905485120 is a wasteful number, since it uses less digits than its factorization.

200342905485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299064 (or 299045 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 200342905485120 in words is "two hundred trillion, three hundred forty-two billion, nine hundred five million, four hundred eighty-five thousand, one hundred twenty".