8454202982400 has 912 divisors, whose sum is σ = 32653500327936. Its totient is φ = 1889827553280.

The previous prime is 8454202982377. The next prime is 8454202982411. The reversal of 8454202982400 is 42892024548.

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 8454202982400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6468402547 + ... + 6468403853.

Almost surely, 2^{8454202982400} is an apocalyptic number.

8454202982400 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 8454202982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326750163968).

8454202982400 is an abundant number, since it is smaller than the sum of its proper divisors (24199297345536).

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

8454202982400 is an equidigital number, since it uses as much as digits as its factorization.

8454202982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 8454202982400 in words is "eight trillion, four hundred fifty-four billion, two hundred two million, nine hundred eighty-two thousand, four hundred".