411330040 has 96 divisors (see below), whose sum is σ = 1041148080. Its totient is φ = 144960000.

The previous prime is 411330037. The next prime is 411330043. The reversal of 411330040 is 40033114.

It is an interprime number because it is at equal distance from previous prime (411330037) and next prime (411330043).

It is a junction number, because it is equal to n+sod(n) for n = 411329996 and 411330023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411330043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2723965 + ... + 2724115.

Almost surely, 2^411330040 is an apocalyptic number.

411330040 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 411330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520574040).

411330040 is an abundant number, since it is smaller than the sum of its proper divisors (629818040).

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

411330040 is a wasteful number, since it uses less digits than its factorization.

411330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 411330040 is about 20281.2731355800. The cubic root of 411330040 is about 743.6983351349.

Adding to 411330040 its reverse (40033114), we get a palindrome (451363154).

The spelling of 411330040 in words is "four hundred eleven million, three hundred thirty thousand, forty".