455641200000 has 1920 divisors, whose sum is σ = 2024729784000. Its totient is φ = 101606400000.

The previous prime is 455641199989. The next prime is 455641200059. The reversal of 455641200000 is 2146554.

455641200000 is a `hidden beast` number, since 455 + 6 + 4 + 1 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 11113199980 + ... + 11113200020.

Almost surely, 2^455641200000 is an apocalyptic number.

455641200000 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 455641200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012364892000).

455641200000 is an abundant number, since it is smaller than the sum of its proper divisors (1569088584000).

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

455641200000 is an frugal number, since it uses more digits than its factorization.

455641200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 455641200000 its reverse (2146554), we get a palindrome (455643346554).

The spelling of 455641200000 in words is "four hundred fifty-five billion, six hundred forty-one million, two hundred thousand".