411100040 has 64 divisors (see below), whose sum is σ = 1005404400. Its totient is φ = 150377472.

The previous prime is 411100033. The next prime is 411100087. The reversal of 411100040 is 40001114.

It can be written as a sum of positive squares in 8 ways, for example, as 186759556 + 224340484 = 13666^2 + 14978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 411099994 and 411100030.

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, 53054 + ... + 60306.

Almost surely, 2^411100040 is an apocalyptic number.

411100040 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 411100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502702200).

411100040 is an abundant number, since it is smaller than the sum of its proper divisors (594304360).

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

411100040 is a wasteful number, since it uses less digits than its factorization.

411100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 411100040 is about 20275.6020872378. The cubic root of 411100040 is about 743.5596934182.

Adding to 411100040 its reverse (40001114), we get a palindrome (451101154).

The spelling of 411100040 in words is "four hundred eleven million, one hundred thousand, forty".