404014014404 has 192 divisors, whose sum is σ = 974857938432. Its totient is φ = 141436108800.

The previous prime is 404014014241. The next prime is 404014014409. The reversal of 404014014404 is 404410410404.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (404014014409) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23683142 + ... + 23700194.

It is an arithmetic number, because the mean of its divisors is an integer number (5077385096).

Almost surely, 2^404014014404 is an apocalyptic number.

404014014404 is a gapful number since it is divisible by the number (44) 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 404014014404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487428969216).

404014014404 is an abundant number, since it is smaller than the sum of its proper divisors (570843924028).

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

404014014404 is a wasteful number, since it uses less digits than its factorization.

404014014404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17246 (or 17244 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 404014014404 its reverse (404410410404), we get a palindrome (808424424808).

The spelling of 404014014404 in words is "four hundred four billion, fourteen million, fourteen thousand, four hundred four".