200434144344320 has 144 divisors (see below), whose sum is σ = 508355753997168. Its totient is φ = 75455775375360.

The previous prime is 200434144344319. The next prime is 200434144344341. The reversal of 200434144344320 is 23443441434002.

200434144344320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 40342416058624 + 160091728285696 = 6351568^2 + 12652736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248878480 + ... + 1249038960.

It is an arithmetic number, because the mean of its divisors is an integer number (3530248291647).

Almost surely, 2^{200434144344320} is an apocalyptic number.

200434144344320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200434144344320 is an abundant number, since it is smaller than the sum of its proper divisors (307921609652848).

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

200434144344320 is a wasteful number, since it uses less digits than its factorization.

200434144344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217916 (or 217902 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 200434144344320 its reverse (23443441434002), we get a palindrome (223877585778322).

The spelling of 200434144344320 in words is "two hundred trillion, four hundred thirty-four billion, one hundred forty-four million, three hundred forty-four thousand, three hundred twenty".