4484105655120 has 960 divisors, whose sum is σ = 19964226207744. Its totient is φ = 875760906240.

The previous prime is 4484105655103. The next prime is 4484105655229. The reversal of 4484105655120 is 215565014844.

4484105655120 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 10 + 565 + 51 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46667767 + ... + 46763753.

Almost surely, 2^{4484105655120} is an apocalyptic number.

4484105655120 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 4484105655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982113103872).

4484105655120 is an abundant number, since it is smaller than the sum of its proper divisors (15480120552624).

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

4484105655120 is a wasteful number, since it uses less digits than its factorization.

4484105655120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96080 (or 96071 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 4484105655120 in words is "four trillion, four hundred eighty-four billion, one hundred five million, six hundred fifty-five thousand, one hundred twenty".