404004121400 has 144 divisors (see below), whose sum is σ = 1061259184440. Its totient is φ = 141844057600.

The previous prime is 404004121399. The next prime is 404004121489. The reversal of 404004121400 is 4121400404.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1741022 + ... + 1959378.

Almost surely, 2^404004121400 is an apocalyptic number.

404004121400 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 404004121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530629592220).

404004121400 is an abundant number, since it is smaller than the sum of its proper divisors (657255063040).

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

404004121400 is a wasteful number, since it uses less digits than its factorization.

404004121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218442 (or 218404 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 404004121400 its reverse (4121400404), we get a palindrome (408125521804).

The spelling of 404004121400 in words is "four hundred four billion, four million, one hundred twenty-one thousand, four hundred".