411141024 has 144 divisors (see below), whose sum is σ = 1349187840. Its totient is φ = 116328960.

The previous prime is 411141023. The next prime is 411141041. The reversal of 411141024 is 420141114.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411140988 and 411141006.

It is not an unprimeable number, because it can be changed into a prime (411141023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218809 + ... + 220679.

It is an arithmetic number, because the mean of its divisors is an integer number (9369360).

Almost surely, 2^411141024 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 411141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674593920).

411141024 is an abundant number, since it is smaller than the sum of its proper divisors (938046816).

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

411141024 is a wasteful number, since it uses less digits than its factorization.

411141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 411141024 is about 20276.6127348727. The cubic root of 411141024 is about 743.5844019521.

Adding to 411141024 its reverse (420141114), we get a palindrome (831282138).

The spelling of 411141024 in words is "four hundred eleven million, one hundred forty-one thousand, twenty-four".