404000004400 has 30 divisors (see below), whose sum is σ = 970610011532. Its totient is φ = 161600001600.

The previous prime is 404000004391. The next prime is 404000004433. The reversal of 404000004400 is 4400000404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504999606 + ... + 505000405.

Almost surely, 2^404000004400 is an apocalyptic number.

404000004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404000004400 is an abundant number, since it is smaller than the sum of its proper divisors (566610007132).

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

404000004400 is a wasteful number, since it uses less digits than its factorization.

404000004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010000029 (or 1010000018 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 404000004400 its reverse (4400000404), we get a palindrome (408400004804).

It can be divided in two parts, 404000004 and 400, that added together give a palindrome (404000404).

The spelling of 404000004400 in words is "four hundred four billion, four thousand, four hundred".