413111120 has 40 divisors (see below), whose sum is σ = 967839840. Its totient is φ = 163978880.

The previous prime is 413111107. The next prime is 413111123. The reversal of 413111120 is 21111314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 413111095 and 413111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9230 + ... + 30189.

It is an arithmetic number, because the mean of its divisors is an integer number (24195996).

Almost surely, 2^413111120 is an apocalyptic number.

413111120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413111120 is an abundant number, since it is smaller than the sum of its proper divisors (554728720).

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

413111120 is a wasteful number, since it uses less digits than its factorization.

413111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39563 (or 39557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 413111120 is about 20325.1351779023. The cubic root of 413111120 is about 744.7702067433.

Adding to 413111120 its reverse (21111314), we get a palindrome (434222434).

It can be divided in two parts, 4131 and 11120, that added together give a palindrome (15251).

The spelling of 413111120 in words is "four hundred thirteen million, one hundred eleven thousand, one hundred twenty".