404414414404 has 144 divisors (see below), whose sum is σ = 967870221696. Its totient is φ = 145343116800.

The previous prime is 404414414389. The next prime is 404414414429.

It is a happy number.

404414414404 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 404414414404.

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, 49128969 + ... + 49137199.

It is an arithmetic number, because the mean of its divisors is an integer number (6721320984).

Almost surely, 2^404414414404 is an apocalyptic number.

404414414404 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 404414414404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483935110848).

404414414404 is an abundant number, since it is smaller than the sum of its proper divisors (563455807292).

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

404414414404 is a wasteful number, since it uses less digits than its factorization.

404414414404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 404414 and 414404, that added together give a palindrome (818818).

The spelling of 404414414404 in words is "four hundred four billion, four hundred fourteen million, four hundred fourteen thousand, four hundred four".