4454517861120 has 288 divisors, whose sum is σ = 15014991801600. Its totient is φ = 1122375647232.

The previous prime is 4454517861083. The next prime is 4454517861121. The reversal of 4454517861120 is 211687154544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4454517861120.

It is not an unprimeable number, because it can be changed into a prime (4454517861121) 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 31 ways as a sum of consecutive naturals, for example, 27571294 + ... + 27732386.

It is an arithmetic number, because the mean of its divisors is an integer number (52135388200).

Almost surely, 2^{4454517861120} is an apocalyptic number.

4454517861120 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 4454517861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507495900800).

4454517861120 is an abundant number, since it is smaller than the sum of its proper divisors (10560473940480).

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

4454517861120 is a wasteful number, since it uses less digits than its factorization.

4454517861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161515 (or 161501 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 4454517861120 in words is "four trillion, four hundred fifty-four billion, five hundred seventeen million, eight hundred sixty-one thousand, one hundred twenty".