4484132041200 has 720 divisors, whose sum is σ = 17314571484000. Its totient is φ = 987939348480.

The previous prime is 4484132041183. The next prime is 4484132041253. The reversal of 4484132041200 is 21402314844.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1208984946 + ... + 1208988654.

It is an arithmetic number, because the mean of its divisors is an integer number (24048015950).

Almost surely, 2^{4484132041200} is an apocalyptic number.

4484132041200 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 4484132041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657285742000).

4484132041200 is an abundant number, since it is smaller than the sum of its proper divisors (12830439442800).

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

4484132041200 is a wasteful number, since it uses less digits than its factorization.

4484132041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 4484132041200 in words is "four trillion, four hundred eighty-four billion, one hundred thirty-two million, forty-one thousand, two hundred".