200129598434304 has 3168 divisors, whose sum is σ = 795745015123968. Its totient is φ = 47274629529600.

The previous prime is 200129598434303. The next prime is 200129598434329. The reversal of 200129598434304 is 403434895921002.

It is a happy number.

200129598434304 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 2 + 9 + 598 + 4 + 3 + 43 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is not an unprimeable number, because it can be changed into a prime (200129598434303) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 312214661824 + ... + 312214662464.

Almost surely, 2^{200129598434304} is an apocalyptic number.

200129598434304 is a gapful number since it is divisible by the number (24) 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 200129598434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397872507561984).

200129598434304 is an abundant number, since it is smaller than the sum of its proper divisors (595615416689664).

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

200129598434304 is a wasteful number, since it uses less digits than its factorization.

200129598434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 200129598434304 in words is "two hundred trillion, one hundred twenty-nine billion, five hundred ninety-eight million, four hundred thirty-four thousand, three hundred four".