413044120224120 has 768 divisors, whose sum is σ = 1641810595921920. Its totient is φ = 80744393318400.

The previous prime is 413044120224097. The next prime is 413044120224149. The reversal of 413044120224120 is 21422021440314.

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 191 ways as a sum of consecutive naturals, for example, 6534339315 + ... + 6534402525.

It is an arithmetic number, because the mean of its divisors is an integer number (2137774213440).

Almost surely, 2^{413044120224120} is an apocalyptic number.

413044120224120 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 413044120224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820905297960960).

413044120224120 is an abundant number, since it is smaller than the sum of its proper divisors (1228766475697800).

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

413044120224120 is a wasteful number, since it uses less digits than its factorization.

413044120224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65724 (or 65703 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 413044120224120 its reverse (21422021440314), we get a palindrome (434466141664434).

The spelling of 413044120224120 in words is "four hundred thirteen trillion, forty-four billion, one hundred twenty million, two hundred twenty-four thousand, one hundred twenty".