411141120 has 352 divisors, whose sum is σ = 1485630720. Its totient is φ = 96337920.

The previous prime is 411141119. The next prime is 411141163. The reversal of 411141120 is 21141114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 411141120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5790685 + ... + 5790755.

Almost surely, 2^411141120 is an apocalyptic number.

411141120 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 411141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

411141120 is an abundant number, since it is smaller than the sum of its proper divisors (1074489600).

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

411141120 is a wasteful number, since it uses less digits than its factorization.

411141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 411141120 is about 20276.6151021318. The cubic root of 411141120 is about 743.5844598269.

Adding to 411141120 its reverse (21141114), we get a palindrome (432282234).

The spelling of 411141120 in words is "four hundred eleven million, one hundred forty-one thousand, one hundred twenty".