413303110000 has 200 divisors, whose sum is σ = 1102453889328. Its totient is φ = 148800000000.

The previous prime is 413303109971. The next prime is 413303110009. The reversal of 413303110000 is 11303314.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413303110009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11091400 + ... + 11128600.

Almost surely, 2^413303110000 is an apocalyptic number.

413303110000 is a gapful number since it is divisible by the number (40) 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 413303110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551226944664).

413303110000 is an abundant number, since it is smaller than the sum of its proper divisors (689150779328).

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

413303110000 is a wasteful number, since it uses less digits than its factorization.

413303110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37341 (or 37320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 413303110000 its reverse (11303314), we get a palindrome (413314413314).

The spelling of 413303110000 in words is "four hundred thirteen billion, three hundred three million, one hundred ten thousand".