8404400884800 has 168 divisors, whose sum is σ = 28093692977856. Its totient is φ = 2198887208960.

The previous prime is 8404400884771. The next prime is 8404400884801. The reversal of 8404400884800 is 84880044048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8404400884800.

It is not an unprimeable number, because it can be changed into a prime (8404400884801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16263684 + ... + 16772483.

Almost surely, 2^{8404400884800} is an apocalyptic number.

8404400884800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8404400884800 is an abundant number, since it is smaller than the sum of its proper divisors (19689292093056).

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

8404400884800 is a wasteful number, since it uses less digits than its factorization.

8404400884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33036245 (or 33036230 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8404400884800 in words is "eight trillion, four hundred four billion, four hundred million, eight hundred eighty-four thousand, eight hundred".