411223311120 has 80 divisors (see below), whose sum is σ = 1293819065280. Its totient is φ = 108022835712.

The previous prime is 411223311073. The next prime is 411223311203. The reversal of 411223311120 is 21113322114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×411223311120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12770715 + ... + 12802874.

It is an arithmetic number, because the mean of its divisors is an integer number (16172738316).

Almost surely, 2^411223311120 is an apocalyptic number.

411223311120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411223311120 is an abundant number, since it is smaller than the sum of its proper divisors (882595754160).

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

411223311120 is a wasteful number, since it uses less digits than its factorization.

411223311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25573672 (or 25573666 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 411223311120 its reverse (21113322114), we get a palindrome (432336633234).

The spelling of 411223311120 in words is "four hundred eleven billion, two hundred twenty-three million, three hundred eleven thousand, one hundred twenty".