8404404084400 has 30 divisors (see below), whose sum is σ = 20191580813732. Its totient is φ = 3361761633600.

The previous prime is 8404404084389. The next prime is 8404404084407. The reversal of 8404404084400 is 44804044048.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8404404084407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10505504706 + ... + 10505505505.

Almost surely, 2^{8404404084400} is an apocalyptic number.

8404404084400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8404404084400 is an abundant number, since it is smaller than the sum of its proper divisors (11787176729332).

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

8404404084400 is a wasteful number, since it uses less digits than its factorization.

8404404084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21011010229 (or 21011010218 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 8404404084400 in words is "eight trillion, four hundred four billion, four hundred four million, eighty-four thousand, four hundred".