200432449002240 has 2880 divisors, whose sum is σ = 919667289784320. Its totient is φ = 40542974115840.

The previous prime is 200432449002193. The next prime is 200432449002343. The reversal of 200432449002240 is 42200944234002.

200432449002240 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 324 + 4 + 90 + 0 + 2 + 240 = 666.

200432449002240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×200432449002240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200432449002195 and 200432449002204.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31880456377 + ... + 31880462663.

It is an arithmetic number, because the mean of its divisors is an integer number (319328920064).

Almost surely, 2^{200432449002240} is an apocalyptic number.

200432449002240 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 200432449002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459833644892160).

200432449002240 is an abundant number, since it is smaller than the sum of its proper divisors (719234840782080).

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

200432449002240 is a wasteful number, since it uses less digits than its factorization.

200432449002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 200432449002240 in words is "two hundred trillion, four hundred thirty-two billion, four hundred forty-nine million, two thousand, two hundred forty".