404132323231404 has 144 divisors (see below), whose sum is σ = 1053437307773760. Its totient is φ = 130589691955200.

The previous prime is 404132323231363. The next prime is 404132323231411.

404132323231404 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 323 + 2 + 323 + 1 + 4 + 0 + 4 = 666.

404132323231404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404132323231404² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30806817 + ... + 41920455.

It is an arithmetic number, because the mean of its divisors is an integer number (7315536859540).

Almost surely, 2^{404132323231404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404132323231404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526718653886880).

404132323231404 is an abundant number, since it is smaller than the sum of its proper divisors (649304984542356).

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

404132323231404 is a wasteful number, since it uses less digits than its factorization.

404132323231404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113960 (or 11113955 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 404132323231404 in words is "four hundred four trillion, one hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-one thousand, four hundred four".