411120024 has 192 divisors, whose sum is σ = 1291756800. Its totient is φ = 106437888.

The previous prime is 411120023. The next prime is 411120041. The reversal of 411120024 is 420021114.

It is a junction number, because it is equal to n+sod(n) for n = 411119985 and 411120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411120023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6968107 + ... + 6968165.

It is an arithmetic number, because the mean of its divisors is an integer number (6727900).

Almost surely, 2^411120024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645878400).

411120024 is an abundant number, since it is smaller than the sum of its proper divisors (880636776).

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

411120024 is a wasteful number, since it uses less digits than its factorization.

411120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 411120024 is about 20276.0948902889. The cubic root of 411120024 is about 743.5717416260.

Adding to 411120024 its reverse (420021114), we get a palindrome (831141138).

The spelling of 411120024 in words is "four hundred eleven million, one hundred twenty thousand, twenty-four".