200304343120440 has 256 divisors, whose sum is σ = 668745920102400. Its totient is φ = 47662791321600.

The previous prime is 200304343120403. The next prime is 200304343120463. The reversal of 200304343120440 is 44021343403002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200304343120398 and 200304343120407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41782666 + ... + 46329254.

It is an arithmetic number, because the mean of its divisors is an integer number (2612288750400).

Almost surely, 2^{200304343120440} is an apocalyptic number.

200304343120440 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 200304343120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334372960051200).

200304343120440 is an abundant number, since it is smaller than the sum of its proper divisors (468441576981960).

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

200304343120440 is a wasteful number, since it uses less digits than its factorization.

200304343120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547558 (or 4547554 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 200304343120440 its reverse (44021343403002), we get a palindrome (244325686523442).

The spelling of 200304343120440 in words is "two hundred trillion, three hundred four billion, three hundred forty-three million, one hundred twenty thousand, four hundred forty".