413405212050120 has 256 divisors, whose sum is σ = 1275851554560000. Its totient is φ = 107101555900416.

The previous prime is 413405212050107. The next prime is 413405212050137. The reversal of 413405212050120 is 21050212504314.

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

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, 3221132911 + ... + 3221261249.

It is an arithmetic number, because the mean of its divisors is an integer number (4983795135000).

Almost surely, 2^{413405212050120} is an apocalyptic number.

413405212050120 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 413405212050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637925777280000).

413405212050120 is an abundant number, since it is smaller than the sum of its proper divisors (862446342509880).

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

413405212050120 is a wasteful number, since it uses less digits than its factorization.

413405212050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131732 (or 131728 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 413405212050120 its reverse (21050212504314), we get a palindrome (434455424554434).

The spelling of 413405212050120 in words is "four hundred thirteen trillion, four hundred five billion, two hundred twelve million, fifty thousand, one hundred twenty".