404004440004 has 48 divisors (see below), whose sum is σ = 1028491113216. Its totient is φ = 122411757600.

The previous prime is 404004439957. The next prime is 404004440009. The reversal of 404004440004 is 400044400404.

It is not an unprimeable number, because it can be changed into a prime (404004440009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031679 + ... + 1368345.

It is an arithmetic number, because the mean of its divisors is an integer number (21426898192).

Almost surely, 2^404004440004 is an apocalyptic number.

404004440004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404004440004 is an abundant number, since it is smaller than the sum of its proper divisors (624486673212).

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

404004440004 is a wasteful number, since it uses less digits than its factorization.

404004440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345776 (or 345774 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404004440004 its reverse (400044400404), we get a palindrome (804048840408).

The spelling of 404004440004 in words is "four hundred four billion, four million, four hundred forty thousand, four".