4484214991872 has 2640 divisors, whose sum is σ = 18215813468160. Its totient is φ = 1072963584000.

The previous prime is 4484214991847. The next prime is 4484214991889. The reversal of 4484214991872 is 2781994124844.

4484214991872 is a `hidden beast` number, since 4 + 4 + 8 + 421 + 49 + 91 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (37158912) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63157957597 + ... + 63157957667.

It is an arithmetic number, because the mean of its divisors is an integer number (6899929344).

Almost surely, 2^{4484214991872} is an apocalyptic number.

4484214991872 is a gapful number since it is divisible by the number (42) 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 4484214991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107906734080).

4484214991872 is an abundant number, since it is smaller than the sum of its proper divisors (13731598476288).

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

4484214991872 is a wasteful number, since it uses less digits than its factorization.

4484214991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 4484214991872 in words is "four trillion, four hundred eighty-four billion, two hundred fourteen million, nine hundred ninety-one thousand, eight hundred seventy-two".