4453961006880 has 1152 divisors, whose sum is σ = 19819316514816. Its totient is φ = 883207987200.

The previous prime is 4453961006867. The next prime is 4453961006881. The reversal of 4453961006880 is 886001693544.

4453961006880 is a `hidden beast` number, since 4 + 453 + 9 + 6 + 100 + 6 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (4453961006881) 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 191 ways as a sum of consecutive naturals, for example, 1252166062 + ... + 1252169618.

It is an arithmetic number, because the mean of its divisors is an integer number (17204267808).

Almost surely, 2^{4453961006880} is an apocalyptic number.

4453961006880 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 4453961006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909658257408).

4453961006880 is an abundant number, since it is smaller than the sum of its proper divisors (15365355507936).

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

4453961006880 is a wasteful number, since it uses less digits than its factorization.

4453961006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4453961006880 in words is "four trillion, four hundred fifty-three billion, nine hundred sixty-one million, six thousand, eight hundred eighty".