404011034320 has 80 divisors (see below), whose sum is σ = 994792164048. Its totient is φ = 152065843200.

The previous prime is 404011034281. The next prime is 404011034377. The reversal of 404011034320 is 23430110404.

It can be written as a sum of positive squares in 8 ways, for example, as 10294943296 + 393716091024 = 101464^2 + 627468^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 404011034291 and 404011034300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6908242 + ... + 6966478.

Almost surely, 2^404011034320 is an apocalyptic number.

404011034320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404011034320 is an abundant number, since it is smaller than the sum of its proper divisors (590781129728).

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

404011034320 is a wasteful number, since it uses less digits than its factorization.

404011034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63368 (or 63362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 404011034320 its reverse (23430110404), we get a palindrome (427441144724).

The spelling of 404011034320 in words is "four hundred four billion, eleven million, thirty-four thousand, three hundred twenty".