200440331413000 has 256 divisors, whose sum is σ = 567841057804800. Its totient is φ = 64690739942400.

The previous prime is 200440331412949. The next prime is 200440331413013. The reversal of 200440331413000 is 314133044002.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 63 ways as a sum of consecutive naturals, for example, 16081414 + ... + 25680586.

It is an arithmetic number, because the mean of its divisors is an integer number (2218129132050).

Almost surely, 2^{200440331413000} is an apocalyptic number.

200440331413000 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 200440331413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283920528902400).

200440331413000 is an abundant number, since it is smaller than the sum of its proper divisors (367400726391800).

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

200440331413000 is a wasteful number, since it uses less digits than its factorization.

200440331413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599377 (or 9599363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 200440331413000 its reverse (314133044002), we get a palindrome (200754464457002).

The spelling of 200440331413000 in words is "two hundred trillion, four hundred forty billion, three hundred thirty-one million, four hundred thirteen thousand".