1413003330200 has 576 divisors, whose sum is σ = 4324380721920. Its totient is φ = 417073536000.

The previous prime is 1413003330169. The next prime is 1413003330203. The reversal of 1413003330200 is 20333003141.

It is a super-2 number, since 2×1413003330200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413003330203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 871685390 + ... + 871687010.

It is an arithmetic number, because the mean of its divisors is an integer number (7507605420).

Almost surely, 2^{1413003330200} is an apocalyptic number.

1413003330200 is a gapful number since it is divisible by the number (10) 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 1413003330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162190360960).

1413003330200 is an abundant number, since it is smaller than the sum of its proper divisors (2911377391720).

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

1413003330200 is a wasteful number, since it uses less digits than its factorization.

1413003330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1413003330200 its reverse (20333003141), we get a palindrome (1433336333341).

The spelling of 1413003330200 in words is "one trillion, four hundred thirteen billion, three million, three hundred thirty thousand, two hundred".