413411221120 has 64 divisors (see below), whose sum is σ = 989334720000. Its totient is φ = 165193233408.

The previous prime is 413411221117. The next prime is 413411221123. The reversal of 413411221120 is 21122114314.

It is an interprime number because it is at equal distance from previous prime (413411221117) and next prime (413411221123).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 413411221091 and 413411221100.

It is not an unprimeable number, because it can be changed into a prime (413411221123) 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, 284881 + ... + 952879.

It is an arithmetic number, because the mean of its divisors is an integer number (15458355000).

Almost surely, 2^413411221120 is an apocalyptic number.

413411221120 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 413411221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494667360000).

413411221120 is an abundant number, since it is smaller than the sum of its proper divisors (575923498880).

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

413411221120 is an equidigital number, since it uses as much as digits as its factorization.

413411221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668985 (or 668973 counting only the distinct ones).

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

Adding to 413411221120 its reverse (21122114314), we get a palindrome (434533335434).

The spelling of 413411221120 in words is "four hundred thirteen billion, four hundred eleven million, two hundred twenty-one thousand, one hundred twenty".