455042016000 has 2304 divisors, whose sum is σ = 2057055436800. Its totient is φ = 97542144000.

The previous prime is 455042015993. The next prime is 455042016031. The reversal of 455042016000 is 610240554.

455042016000 is a `hidden beast` number, since 4 + 5 + 50 + 4 + 2 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 3583007937 + ... + 3583008063.

It is an arithmetic number, because the mean of its divisors is an integer number (892819200).

Almost surely, 2^455042016000 is an apocalyptic number.

455042016000 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 455042016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028527718400).

455042016000 is an abundant number, since it is smaller than the sum of its proper divisors (1602013420800).

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

455042016000 is a wasteful number, since it uses less digits than its factorization.

455042016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

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

Adding to 455042016000 its reverse (610240554), we get a palindrome (455652256554).

The spelling of 455042016000 in words is "four hundred fifty-five billion, forty-two million, sixteen thousand".