413341100120 has 128 divisors (see below), whose sum is σ = 1062126172800. Its totient is φ = 143416713216.

The previous prime is 413341100111. The next prime is 413341100189. The reversal of 413341100120 is 21001143314.

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

It is a junction number, because it is equal to n+sod(n) for n = 413341100092 and 413341100101.

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, 5683346 + ... + 5755614.

It is an arithmetic number, because the mean of its divisors is an integer number (8297860725).

Almost surely, 2^413341100120 is an apocalyptic number.

413341100120 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 413341100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531063086400).

413341100120 is an abundant number, since it is smaller than the sum of its proper divisors (648785072680).

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

413341100120 is a wasteful number, since it uses less digits than its factorization.

413341100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72957 (or 72953 counting only the distinct ones).

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

Adding to 413341100120 its reverse (21001143314), we get a palindrome (434342243434).

The spelling of 413341100120 in words is "four hundred thirteen billion, three hundred forty-one million, one hundred thousand, one hundred twenty".