200243318486400 has 1920 divisors, whose sum is σ = 895971854131200. Its totient is φ = 43018593730560.

The previous prime is 200243318486383. The next prime is 200243318486437. The reversal of 200243318486400 is 4684813342002.

It is a happy number.

200243318486400 is a `hidden beast` number, since 20 + 0 + 2 + 43 + 3 + 184 + 8 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4378124332 + ... + 4378170068.

It is an arithmetic number, because the mean of its divisors is an integer number (466652007360).

Almost surely, 2^{200243318486400} is an apocalyptic number.

200243318486400 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 200243318486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447985927065600).

200243318486400 is an abundant number, since it is smaller than the sum of its proper divisors (695728535644800).

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

200243318486400 is a wasteful number, since it uses less digits than its factorization.

200243318486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45926 (or 45900 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 200243318486400 in words is "two hundred trillion, two hundred forty-three billion, three hundred eighteen million, four hundred eighty-six thousand, four hundred".