4456314720000 has 4320 divisors, whose sum is σ = 21337128933120. Its totient is φ = 875888640000.

The previous prime is 4456314719993. The next prime is 4456314720029. The reversal of 4456314720000 is 274136544.

4456314720000 is a `hidden beast` number, since 445 + 6 + 3 + 1 + 4 + 7 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 66512159967 + ... + 66512160033.

It is an arithmetic number, because the mean of its divisors is an integer number (4939150216).

Almost surely, 2^{4456314720000} is an apocalyptic number.

4456314720000 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 4456314720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668564466560).

4456314720000 is an abundant number, since it is smaller than the sum of its proper divisors (16880814213120).

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

4456314720000 is a wasteful number, since it uses less digits than its factorization.

4456314720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 4456314720000 its reverse (274136544), we get a palindrome (4456588856544).

The spelling of 4456314720000 in words is "four trillion, four hundred fifty-six billion, three hundred fourteen million, seven hundred twenty thousand".