209233712000400 has 1920 divisors, whose sum is σ = 752163758438400. Its totient is φ = 49521151180800.

The previous prime is 209233712000353. The next prime is 209233712000479. The reversal of 209233712000400 is 4000217332902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 814138957072 + ... + 814138957328.

It is an arithmetic number, because the mean of its divisors is an integer number (391751957520).

Almost surely, 2^{209233712000400} is an apocalyptic number.

209233712000400 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 209233712000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376081879219200).

209233712000400 is an abundant number, since it is smaller than the sum of its proper divisors (542930046438000).

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

209233712000400 is a wasteful number, since it uses less digits than its factorization.

209233712000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 209233712000400 in words is "two hundred nine trillion, two hundred thirty-three billion, seven hundred twelve million, four hundred", and thus it is an aban number.