200389829990400 has 1440 divisors, whose sum is σ = 771197455828800. Its totient is φ = 51366002688000.

The previous prime is 200389829990279. The next prime is 200389829990423. The reversal of 200389829990400 is 4099928983002.

200389829990400 is a `hidden beast` number, since 2 + 0 + 0 + 38 + 98 + 29 + 9 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28022626825 + ... + 28022633975.

It is an arithmetic number, because the mean of its divisors is an integer number (535553788770).

Almost surely, 2^{200389829990400} is an apocalyptic number.

200389829990400 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 200389829990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385598727914400).

200389829990400 is an abundant number, since it is smaller than the sum of its proper divisors (570807625838400).

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

200389829990400 is a wasteful number, since it uses less digits than its factorization.

200389829990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 200389829990400 in words is "two hundred trillion, three hundred eighty-nine billion, eight hundred twenty-nine million, nine hundred ninety thousand, four hundred".