200461440000 has 440 divisors, whose sum is σ = 673605602208. Its totient is φ = 52981760000.

The previous prime is 200461439977. The next prime is 200461440001. The reversal of 200461440000 is 44164002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200461440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251519602 + ... + 251520398.

Almost surely, 2^200461440000 is an apocalyptic number.

200461440000 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 200461440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336802801104).

200461440000 is an abundant number, since it is smaller than the sum of its proper divisors (473144162208).

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

200461440000 is an equidigital number, since it uses as much as digits as its factorization.

200461440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 200461440000 in words is "two hundred billion, four hundred sixty-one million, four hundred forty thousand".