404000212320 has 144 divisors (see below), whose sum is σ = 1387432715760. Its totient is φ = 107047130112.

The previous prime is 404000212249. The next prime is 404000212331. The reversal of 404000212320 is 23212000404.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404000212293 and 404000212302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667410 + ... + 1119569.

It is an arithmetic number, because the mean of its divisors is an integer number (9634949415).

Almost surely, 2^404000212320 is an apocalyptic number.

404000212320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404000212320 is an abundant number, since it is smaller than the sum of its proper divisors (983432503440).

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

404000212320 is a wasteful number, since it uses less digits than its factorization.

404000212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787157 (or 1787146 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 404000212320 its reverse (23212000404), we get a palindrome (427212212724).

The spelling of 404000212320 in words is "four hundred four billion, two hundred twelve thousand, three hundred twenty".