413111224120 has 64 divisors (see below), whose sum is σ = 1096553318400. Its totient is φ = 137069159040.

The previous prime is 413111224109. The next prime is 413111224121. The reversal of 413111224120 is 21422111314.

It is a junction number, because it is equal to n+sod(n) for n = 413111224091 and 413111224100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413111224121) by changing a digit.

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, 23788050 + ... + 23805409.

It is an arithmetic number, because the mean of its divisors is an integer number (17133645600).

Almost surely, 2^413111224120 is an apocalyptic number.

413111224120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413111224120 is an abundant number, since it is smaller than the sum of its proper divisors (683442094280).

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

413111224120 is a wasteful number, since it uses less digits than its factorization.

413111224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47593508 (or 47593504 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 413111224120 its reverse (21422111314), we get a palindrome (434533335434).

The spelling of 413111224120 in words is "four hundred thirteen billion, one hundred eleven million, two hundred twenty-four thousand, one hundred twenty".