413444200120 has 64 divisors (see below), whose sum is σ = 1068708556800. Its totient is φ = 141010120320.

The previous prime is 413444200097. The next prime is 413444200133. The reversal of 413444200120 is 21002444314.

It is a super-2 number, since 2×413444200120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3811930 + ... + 3918889.

It is an arithmetic number, because the mean of its divisors is an integer number (16698571200).

Almost surely, 2^413444200120 is an apocalyptic number.

413444200120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413444200120 is an abundant number, since it is smaller than the sum of its proper divisors (655264356680).

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

413444200120 is a wasteful number, since it uses less digits than its factorization.

413444200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731028 (or 7731024 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 413444200120 its reverse (21002444314), we get a palindrome (434446644434).

The spelling of 413444200120 in words is "four hundred thirteen billion, four hundred forty-four million, two hundred thousand, one hundred twenty".