200128481280 has 1152 divisors, whose sum is σ = 872883648000. Its totient is φ = 42138206208.

The previous prime is 200128481279. The next prime is 200128481299. The reversal of 200128481280 is 82184821002.

200128481280 is a `hidden beast` number, since 20 + 0 + 1 + 284 + 81 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 410941197 + ... + 410941683.

It is an arithmetic number, because the mean of its divisors is an integer number (757711500).

Almost surely, 2^200128481280 is an apocalyptic number.

200128481280 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 200128481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436441824000).

200128481280 is an abundant number, since it is smaller than the sum of its proper divisors (672755166720).

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

200128481280 is a wasteful number, since it uses less digits than its factorization.

200128481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 200128481280 in words is "two hundred billion, one hundred twenty-eight million, four hundred eighty-one thousand, two hundred eighty".