200434224033120 has 192 divisors, whose sum is σ = 787159861802496. Its totient is φ = 41648669921280.

The previous prime is 200434224033089. The next prime is 200434224033137. The reversal of 200434224033120 is 21330422434002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2711464989 + ... + 2711538908.

It is an arithmetic number, because the mean of its divisors is an integer number (4099790946888).

Almost surely, 2^{200434224033120} is an apocalyptic number.

200434224033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200434224033120 is an abundant number, since it is smaller than the sum of its proper divisors (586725637769376).

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

200434224033120 is a wasteful number, since it uses less digits than its factorization.

200434224033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423003933 (or 5423003925 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 200434224033120 its reverse (21330422434002), we get a palindrome (221764646467122).

The spelling of 200434224033120 in words is "two hundred trillion, four hundred thirty-four billion, two hundred twenty-four million, thirty-three thousand, one hundred twenty".