129200440320 has 396 divisors, whose sum is σ = 520775247564. Its totient is φ = 29531013120.

The previous prime is 129200440319. The next prime is 129200440331. The reversal of 129200440320 is 23044002921.

129200440320 is a `hidden beast` number, since 12 + 9 + 200 + 440 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98907734016 + 30292706304 = 314496^2 + 174048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2229310 + ... + 2286530.

It is an arithmetic number, because the mean of its divisors is an integer number (1315089009).

Almost surely, 2^129200440320 is an apocalyptic number.

129200440320 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 129200440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260387623782).

129200440320 is an abundant number, since it is smaller than the sum of its proper divisors (391574807244).

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

129200440320 is a wasteful number, since it uses less digits than its factorization.

129200440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57266 (or 57238 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 129200440320 in words is "one hundred twenty-nine billion, two hundred million, four hundred forty thousand, three hundred twenty".