455142841344 has 264 divisors, whose sum is σ = 1409908259760. Its totient is φ = 146480431104.

The previous prime is 455142841291. The next prime is 455142841357. The reversal of 455142841344 is 443148241554.

455142841344 is a `hidden beast` number, since 4 + 5 + 514 + 2 + 84 + 13 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 455142841344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7184592 + ... + 7247664.

It is an arithmetic number, because the mean of its divisors is an integer number (5340561590).

Almost surely, 2^455142841344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455142841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704954129880).

455142841344 is an abundant number, since it is smaller than the sum of its proper divisors (954765418416).

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

455142841344 is an equidigital number, since it uses as much as digits as its factorization.

455142841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63137 (or 63107 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 455142841344 in words is "four hundred fifty-five billion, one hundred forty-two million, eight hundred forty-one thousand, three hundred forty-four".