404000400400 has 240 divisors, whose sum is σ = 1038402537984. Its totient is φ = 150694410240.

The previous prime is 404000400379. The next prime is 404000400403. The reversal of 404000400400 is 4004000404.

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

It is not an unprimeable number, because it can be changed into a prime (404000400403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119773114 + ... + 119776486.

Almost surely, 2^404000400400 is an apocalyptic number.

404000400400 is a gapful number since it is divisible by the number (40) 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 404000400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519201268992).

404000400400 is an abundant number, since it is smaller than the sum of its proper divisors (634402137584).

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

404000400400 is a wasteful number, since it uses less digits than its factorization.

404000400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3727 counting only the distinct ones).

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

Adding to 404000400400 its reverse (4004000404), we get a palindrome (408004400804).

The spelling of 404000400400 in words is "four hundred four billion, four hundred thousand, four hundred".