413103343120320 has 224 divisors, whose sum is σ = 1312458543601920. Its totient is φ = 110089061785600.

The previous prime is 413103343120301. The next prime is 413103343120361. The reversal of 413103343120320 is 23021343301314.

It is a super-3 number, since 3×413103343120320³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18715312804 + ... + 18715334876.

Almost surely, 2^{413103343120320} is an apocalyptic number.

413103343120320 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 413103343120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656229271800960).

413103343120320 is an abundant number, since it is smaller than the sum of its proper divisors (899355200481600).

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

413103343120320 is a wasteful number, since it uses less digits than its factorization.

413103343120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33923 (or 33913 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 413103343120320 its reverse (23021343301314), we get a palindrome (436124686421634).

The spelling of 413103343120320 in words is "four hundred thirteen trillion, one hundred three billion, three hundred forty-three million, one hundred twenty thousand, three hundred twenty".