200956444128 has 384 divisors, whose sum is σ = 655744481280. Its totient is φ = 59351040000.

The previous prime is 200956444093. The next prime is 200956444147. The reversal of 200956444128 is 821444659002.

It is a happy number.

200956444128 is a `hidden beast` number, since 20 + 0 + 9 + 564 + 4 + 41 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125518528 + ... + 125520128.

It is an arithmetic number, because the mean of its divisors is an integer number (1707667920).

Almost surely, 2^200956444128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200956444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327872240640).

200956444128 is an abundant number, since it is smaller than the sum of its proper divisors (454788037152).

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

200956444128 is a wasteful number, since it uses less digits than its factorization.

200956444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 200956444128 in words is "two hundred billion, nine hundred fifty-six million, four hundred forty-four thousand, one hundred twenty-eight".