8442455558400 has 540 divisors, whose sum is σ = 31443720501732. Its totient is φ = 2234869678080.

The previous prime is 8442455558353. The next prime is 8442455558417. The reversal of 8442455558400 is 48555542448.

8442455558400 is a `hidden beast` number, since 8 + 4 + 4 + 2 + 4 + 5 + 55 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3941830656 + 8438513727744 = 62784^2 + 2904912^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 70961364 + ... + 71080236.

Almost surely, 2^{8442455558400} is an apocalyptic number.

8442455558400 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 8442455558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721860250866).

8442455558400 is an abundant number, since it is smaller than the sum of its proper divisors (23001264943332).

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

8442455558400 is a wasteful number, since it uses less digits than its factorization.

8442455558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119048 (or 119020 counting only the distinct ones).

The product of its (nonzero) digits is 20480000, while the sum is 54.

The spelling of 8442455558400 in words is "eight trillion, four hundred forty-two billion, four hundred fifty-five million, five hundred fifty-eight thousand, four hundred".