404013001000 has 128 divisors (see below), whose sum is σ = 1080962588160. Its totient is φ = 138452544000.

The previous prime is 404013000991. The next prime is 404013001003. The reversal of 404013001000 is 100310404.

It is not an unprimeable number, because it can be changed into a prime (404013001003) 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, 15954349 + ... + 15979651.

It is an arithmetic number, because the mean of its divisors is an integer number (8445020220).

Almost surely, 2^404013001000 is an apocalyptic number.

404013001000 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 404013001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540481294080).

404013001000 is an abundant number, since it is smaller than the sum of its proper divisors (676949587160).

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

404013001000 is a wasteful number, since it uses less digits than its factorization.

404013001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27612 (or 27598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 404013001000 its reverse (100310404), we get a palindrome (404113311404).

The spelling of 404013001000 in words is "four hundred four billion, thirteen million, one thousand".