8454478406400 has 2592 divisors, whose sum is σ = 35884849972608. Its totient is φ = 1879887052800.

The previous prime is 8454478406347. The next prime is 8454478406459. The reversal of 8454478406400 is 46048744548.

8454478406400 is a `hidden beast` number, since 84 + 5 + 447 + 84 + 0 + 6 + 40 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50625619117 + ... + 50625619283.

It is an arithmetic number, because the mean of its divisors is an integer number (13844463724).

Almost surely, 2^{8454478406400} is an apocalyptic number.

8454478406400 is a gapful number since it is divisible by the number (80) 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 8454478406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17942424986304).

8454478406400 is an abundant number, since it is smaller than the sum of its proper divisors (27430371566208).

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

8454478406400 is a wasteful number, since it uses less digits than its factorization.

8454478406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 8454478406400 in words is "eight trillion, four hundred fifty-four billion, four hundred seventy-eight million, four hundred six thousand, four hundred".