411312404040 has 128 divisors (see below), whose sum is σ = 1248249985920. Its totient is φ = 108414720000.

The previous prime is 411312404029. The next prime is 411312404047. The reversal of 411312404040 is 40404213114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 411312404040.

It is not an unprimeable number, because it can be changed into a prime (411312404047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7255887 + ... + 7312353.

It is an arithmetic number, because the mean of its divisors is an integer number (9751953015).

Almost surely, 2^411312404040 is an apocalyptic number.

411312404040 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 411312404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624124992960).

411312404040 is an abundant number, since it is smaller than the sum of its proper divisors (836937581880).

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

411312404040 is a wasteful number, since it uses less digits than its factorization.

411312404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57183 (or 57179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 411312404040 its reverse (40404213114), we get a palindrome (451716617154).

The spelling of 411312404040 in words is "four hundred eleven billion, three hundred twelve million, four hundred four thousand, forty".