404411414040 has 128 divisors (see below), whose sum is σ = 1351901880000. Its totient is φ = 107533937664.

The previous prime is 404411413993. The next prime is 404411414047. The reversal of 404411414040 is 40414114404.

404411414040 is a `hidden beast` number, since 4 + 0 + 441 + 141 + 40 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404411413995 and 404411414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404411414047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159549 + ... + 913388.

Almost surely, 2^404411414040 is an apocalyptic number.

404411414040 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 404411414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675950940000).

404411414040 is an abundant number, since it is smaller than the sum of its proper divisors (947490465960).

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

404411414040 is a wasteful number, since it uses less digits than its factorization.

404411414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073306 (or 1073296 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 404411414040 its reverse (40414114404), we get a palindrome (444825528444).

The spelling of 404411414040 in words is "four hundred four billion, four hundred eleven million, four hundred fourteen thousand, forty".