404001332040 has 128 divisors (see below), whose sum is σ = 1248742028160. Its totient is φ = 104486713344.

The previous prime is 404001332011. The next prime is 404001332041. The reversal of 404001332040 is 40233100404.

It is a junction number, because it is equal to n+sod(n) for n = 404001331998 and 404001332016.

It is not an unprimeable number, because it can be changed into a prime (404001332041) 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, 1244367 + ... + 1535073.

It is an arithmetic number, because the mean of its divisors is an integer number (9755797095).

Almost surely, 2^404001332040 is an apocalyptic number.

404001332040 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 404001332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624371014080).

404001332040 is an abundant number, since it is smaller than the sum of its proper divisors (844740696120).

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

404001332040 is a wasteful number, since it uses less digits than its factorization.

404001332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291071 (or 291067 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 404001332040 its reverse (40233100404), we get a palindrome (444234432444).

The spelling of 404001332040 in words is "four hundred four billion, one million, three hundred thirty-two thousand, forty".