413102211041320 has 256 divisors, whose sum is σ = 972082425600000. Its totient is φ = 157877872926720.

The previous prime is 413102211041297. The next prime is 413102211041363. The reversal of 413102211041320 is 23140112201314.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22538165916 + ... + 22538184244.

It is an arithmetic number, because the mean of its divisors is an integer number (3797196975000).

Almost surely, 2^{413102211041320} is an apocalyptic number.

413102211041320 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 413102211041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486041212800000).

413102211041320 is an abundant number, since it is smaller than the sum of its proper divisors (558980214558680).

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

413102211041320 is a wasteful number, since it uses less digits than its factorization.

413102211041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19916 (or 19912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 413102211041320 its reverse (23140112201314), we get a palindrome (436242323242634).

The spelling of 413102211041320 in words is "four hundred thirteen trillion, one hundred two billion, two hundred eleven million, forty-one thousand, three hundred twenty".