404004400400 has 60 divisors (see below), whose sum is σ = 970682932212. Its totient is φ = 161591377920.

The previous prime is 404004400369. The next prime is 404004400447. The reversal of 404004400400 is 4004400404.

It can be written as a sum of positive squares in 6 ways, for example, as 47948736784 + 356055663616 = 218972^2 + 596704^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10345712 + ... + 10384688.

Almost surely, 2^404004400400 is an apocalyptic number.

404004400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404004400400 is an abundant number, since it is smaller than the sum of its proper divisors (566678531812).

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

404004400400 is a wasteful number, since it uses less digits than its factorization.

404004400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64908 (or 64897 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 404004400400 its reverse (4004400404), we get a palindrome (408008800804).

The spelling of 404004400400 in words is "four hundred four billion, four million, four hundred thousand, four hundred".