413110421300 has 144 divisors (see below), whose sum is σ = 925865740800. Its totient is φ = 159987905280.

The previous prime is 413110421279. The next prime is 413110421407. The reversal of 413110421300 is 3124011314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773005984 + ... + 1773006216.

It is an arithmetic number, because the mean of its divisors is an integer number (6429623200).

Almost surely, 2^413110421300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413110421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462932870400).

413110421300 is an abundant number, since it is smaller than the sum of its proper divisors (512755319500).

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

413110421300 is a wasteful number, since it uses less digits than its factorization.

413110421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 413110421300 its reverse (3124011314), we get a palindrome (416234432614).

The spelling of 413110421300 in words is "four hundred thirteen billion, one hundred ten million, four hundred twenty-one thousand, three hundred".