4455086400000 has 960 divisors, whose sum is σ = 16586883371520. Its totient is φ = 1180569600000.

The previous prime is 4455086399999. The next prime is 4455086400007. The reversal of 4455086400000 is 46805544.

4455086400000 is a `hidden beast` number, since 4 + 4 + 5 + 5 + 0 + 8 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4455086400007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12139199817 + ... + 12139200183.

It is an arithmetic number, because the mean of its divisors is an integer number (17278003512).

Almost surely, 2^{4455086400000} is an apocalyptic number.

4455086400000 is a gapful number since it is divisible by the number (40) 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 4455086400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293441685760).

4455086400000 is an abundant number, since it is smaller than the sum of its proper divisors (12131796971520).

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

4455086400000 is an frugal number, since it uses more digits than its factorization.

4455086400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4455086400000 in words is "four trillion, four hundred fifty-five billion, eighty-six million, four hundred thousand".