455243120640 has 1620 divisors, whose sum is σ = 2058584940048. Its totient is φ = 94595973120.

The previous prime is 455243120569. The next prime is 455243120653. The reversal of 455243120640 is 46021342554.

455243120640 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 4 + 3 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a junction number, because it is equal to n+sod(n) for n = 455243120595 and 455243120604.

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 107 ways as a sum of consecutive naturals, for example, 41385738235 + ... + 41385738245.

Almost surely, 2^455243120640 is an apocalyptic number.

455243120640 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 455243120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029292470024).

455243120640 is an abundant number, since it is smaller than the sum of its proper divisors (1603341819408).

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

455243120640 is an frugal number, since it uses more digits than its factorization.

455243120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 455243120640 in words is "four hundred fifty-five billion, two hundred forty-three million, one hundred twenty thousand, six hundred forty".