404410152040 has 128 divisors (see below), whose sum is σ = 940325552640. Its totient is φ = 156451649536.

The previous prime is 404410152023. The next prime is 404410152161. The reversal of 404410152040 is 40251014404.

It is a junction number, because it is equal to n+sod(n) for n = 404410151996 and 404410152014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58462662 + ... + 58469578.

It is an arithmetic number, because the mean of its divisors is an integer number (7346293380).

Almost surely, 2^404410152040 is an apocalyptic number.

404410152040 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 404410152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470162776320).

404410152040 is an abundant number, since it is smaller than the sum of its proper divisors (535915400600).

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

404410152040 is a wasteful number, since it uses less digits than its factorization.

404410152040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 404410152040 its reverse (40251014404), we get a palindrome (444661166444).

The spelling of 404410152040 in words is "four hundred four billion, four hundred ten million, one hundred fifty-two thousand, forty".